Mathematics High School

How to solve 3 3/5 - 2/3?

Answers

Answer 1
Conversion a mixed number 3 3/
5
to a improper fraction: 3 3/5 = 3 3/
5
= 3 · 5 + 3/
5
= 15 + 3/
5
= 18/
5


To find new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/
5
= 15/
5

b) Add the answer from previous step 15 to the numerator 3. New numerator is 15 + 3 = 18
c) Write a previous answer (new numerator 18) over the denominator 5.

Three and three fifths is eighteen fifths
Subtract: 18/
5
- 2/
3
= 18 · 3/
5 · 3
- 2 · 5/
3 · 5
= 54/
15
- 10/
15
= 54 - 10/
15
= 44/
15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 3) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 3 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - eighteen fifths minus two thirds = forty-four fifteenths.
Answer 2

The value of the expression 3 ³/₅ - 2/3 in mixed fraction number will be 2 ¹⁴/₁₅.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 3 ³/₅ - 2/3

Convert the mixed fraction number into a fraction number. Then we have

⇒ 3 ³/₅

⇒ 18 / 5

Then the expression is written as,

⇒ 3 ³/₅ - 2/3

⇒ 18/5 - 2/3

⇒ (18 x 3 - 2 x 5) / 15

⇒ (54 - 10) / 15

⇒ 44 / 15

⇒ 2 ¹⁴/₁₅

The worth of the articulation 3 ³/₅ - 2/3 in the blended part number will be 2 ¹⁴/₁₅.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Related Questions

10x + 38
40 + 7x
determine the value of x

Answers

Answer:

x= 2/3

Step-by-step explanation:

if they are equating,

10x +38 = 40+7x

10x-7x = 40-38

3x = 2

x= 2/3

Answer:

x = 0.6666666667

Step-by-step explanation:

Simplifying

10x + 38 = 40 + 7x

Reorder the terms:

38 + 10x = 40 + 7x

Solving

38 + 10x = 40 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

38 + 10x + -7x = 40 + 7x + -7x

Combine like terms: 10x + -7x = 3x

38 + 3x = 40 + 7x + -7x

Combine like terms: 7x + -7x = 0

38 + 3x = 40 + 0

38 + 3x = 40

Add '-38' to each side of the equation.

38 + -38 + 3x = 40 + -38

Combine like terms: 38 + -38 = 0

0 + 3x = 40 + -38

3x = 40 + -38

Combine like terms: 40 + -38 = 2

3x = 2

Divide each side by '3'.

x = 0.6666666667

Simplifying

x = 0.6666666667

Write an equation of the line passing through the points (-4,13) and (8,-2)

Answers

y = -5/4x + 8

I can explain it if you want. Or if you want the standard form or the point-slope form, I’ll give it to you and explain of you want.

i will mark brain thing help me what is A and B

Answers

The answer is B have a nice weekend

If longest out of a triangle is 3 inches longer than the shorter side. The medium size is 2 inches longer than the shorter side. If the perimeter is 26 inches, what are the length of the three sides

Answers

Answer:

Shortest side = 7 inches.

Medium side = 9 inches.

Longest side = 10 inches.

Step-by-step explanation:

Let the shortest side be x.

Translating the word problem into an algebraic equation, we have;

Shortest side = x

Medium side = x + 2

Longest side = x + 3

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

[tex] P = A + B + C [/tex]

Substituting into the equation, we have;

26 = x + x + 2 + x + 3

26 = 3x + 5

3x = 26 - 5

3x = 21

x = 21/3

x = 7 inches.

Therefore, the length of the three sides are;

Shortest side = x = 7 inches.

Medium side = x + 2 = 7 + 2 = 9 inches.

Longest side = x + 3 = 7 + 3 = 10 inches.

solve the following using the quadratic formula
10x^2-7x+5=0
a)-0.96 and -0.26
b)0.96 and -0.26
c)no solution
b)0.96 and 0.26

Answers

c)no solution i’m pretty sure

nicole will rent a car for the weekend. she can choose one of two plans the first plan has an initial fee of $53 and cost an additional $0.08 per mile driven. the second plan has an initial fee of $48 and costs an additional $0.10 per mile driven.​

Answers

?

Step-by-step explanation:

what's the question??

Pren recorded this data set, which contains an outlier.

204, 216, 111, 224, 230, 211, 210, 198, 200, 218

What numbers represent the range, lower quartile, and upper quartiles?

Answers

Answer:

111,200,204,210,211

Step-by-step explanation:

Solve for x.


−12x+13>35


Drag and drop a number or symbol into each box to correctly complete the solution.

less or greater than

Answers

Answer:

the answer is 4

Step-by-step explanation:i hope im right sry if im not

The answer is 10 cause u divide the factors then regroup them and divide x by the number of your answers

X + 9 =20 x=___ help

Answers

you do x=20-9
so x=11

Answer:

x = 11

Step-by-step explanation:

x + 9 = 20 (Subtract 9 from both sides)

x = 20 -9

x = 11

Verify:

11 + 9 = 20 (Correct)

Ciara is constructing a tangent line from a point outside the circle as shown. image Which of the following BEST describes the actions that should be in Step 2? A. Construct another circle centered about point B. B. Place point C on the circle and construct a line connecting points B and C. C. Construct the perpendicular bisector of line AB. D. Place point C on the circle and construct the angle bisector of ABC.

Answers

Answer:A

Step-by-step explanation:

Mike rides his bike with a constant speed of 16km/h. How long will he take to travel 32 kilometers?

Answers

2 hrand 33min...,....

Rewrite as a simplified fraction. 0.83 = ?​

Answers

Answer:

83/100

Step-by-step explanation:

Answer: [tex]\frac{83}{100}[/tex]

Step-by-step explanation:

This is the simplified fraction form of 0.83.

hope this helps :)

please look at the image for the question thanks you.

Answers

Brüh it’s already right fym

Answer:

100 cal

Step-by-step explanation:

it says 100 calories on the top left

Find the 7 term of the sequence 4, 24, 144,864,

Answers

Answer:

common ratio =24/4

common ratio=6

G7=4x(6)^6

G7=186624

Help please!
Diana bought a total of 22 items including boxes of pizza and sodas for an upcoming event. Each box of pizza cost $8 and each soda cost $1.50. If Diana spent a total of $137, which of the following is a true statement?
A. Diana bought 16 boxes of pizza.
B. Diana bought more sodas than boxes of pizza.
C. Diana bought 6 boxes of pizza.
D. Diana bought an equal number of sodas and pizzas

Answers

Answer:

B. I think

Step-by-step explanation:

1.50 times 86 equals 129 witch would mean Diana bought 86 sodas

8 is equal to 1 pizza so Dianna could have bought 1 pizza

86>1

8+129 is 137 so I think the answer is B.

Find the equation of a line which is parallel to y= 2/5 x + 17 and passes through (-15,12)

Answers

Answer:

y = 2/5x + 18.

Step-by-step explanation:

The line will have the same slope of 2/5.

Using the point-slope form of a line:

y - 12 = 2/5(x - -15)

y - 12 = 2/5(x + 15)

y = 2/5x + 6 + 12

y = 2/5x + 18.

Answer:

y  = (2/5)*x + 18

Step-by-step explanation:

Because the line is parallel to the line y = 2/5 x + 17, the slope of the new line has to be the same as well. So far, we have y = (2/5)*x .

Now what we can do is plug in -15 for x and see what we get for y. Because we get -6, we need 18 more to make it 12. Because of that, the y-intercept is 18 to make the equation of the line y  = (2/5)*x + 18.

how many centimeters is the growth rate of the plant per week? Please i really need this. PICTURE WHEN YOU CLICK

Answers

Answer:

4 and 3/4 YOU GOT THIS!!

Step-by-step explanation:

Answer:

I believe the answer would be 1/2 a centimeter per week, hope this helps

Given z1 = 9+9 (square root) 3i and z2 = 2+ (square root) 3i, what is z2-z1?
a) 8+7 (square root) 3i
b) -7-8 (square root) 3i
c) 7+10 (square root) 3i
d) -7+10 (square root) 3i

Answers

Answer:

B

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

took the test edg2021

1) Given two equations: 1) y = x - 3 and 2) y = -2x + 9. graph and state the point of
intersection below: *
Your answer

Answers

Answer:

1) y = - 3 and x = 3

2) x = 9/2 and y = 9

Step-by-step explanation:

Substitute x= 0 to find y and y=0 to find x

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2200 seats. The students filled 1672 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

76% because 1672 divided by 2200 is .76 which means it’s 76%

Solve for y: 5y = 9 1/2

Answers

Answer:

1  9/10

Step-by-step explanation:

I was first make me brainliest. :)

Here’s a picture of the steps I used to solve it

17/8x+3/4x+1/6-7/12x+18/3 simplify

Answers

Answer:

55x + 148/24

Explanation:

HELP ME DO THIS PLEASE IM STRESSING OUT

Answers

Answer:

36

Step-by-step explanation:

ik it bc im smart

The answer is 36!!!!

ts
Identify as many solutions to the equation below as you can.
x + y = 12
(ex. 1 + 11 = 12, so (1, 11) is a solution)

Answers

Answer:

2+10=12

3+9=12

4+8=12

5+7=12

6+6=12

Find the missing angle? *

Answers

80 + 35 = 115

180 - 115 = 65

the answer is 65

HELP I NEED HELP ASAP

Answers

9514 1404 393

Answer:

  A. exponential; constant % rate of change

Step-by-step explanation:

Each round has 50% of the players of the previous round, so the rate of change is a constant percentage. That makes the function a decaying exponential function, matching choice A.

A rectangular prism has a length of 5 cm, a width of 2 cm, and a height of 1 cm.
Which expressions can be used to find the volume of the prism?
Select each correct answer.
O 5.2.1
12.1
o 1}(5+2)
o (123•15)

Answers

Answer:

The first two options

Step-by-step explanation:

The formula is V= l x w x h So that is why the first one works.

The second one works because of the commutative property of multiplication which says that the number don't have to be in a certain order so They multiplied the first 2 numbers which equals 12 1/2 which means 12 1/2 x 1/2 would work

2(4x-1)+3=7
i'm little confused on this

Answers

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x

Now, you have 8x - 1 + 3 = 7

Seperate the 8x from the other numbers

8x = 1 - 3 + 7 ---> 6

8x = 6

Now simplify

x = [tex]\frac{6}{8}[/tex]  <----- to reduce, divide the numerator and denominator by 2

Hence,

x =  [tex]\frac{3}{4}[/tex]

solve inequalities if all real- number values of x are solutions of the inequality, write true or false

Answers

Answer:

false

Step-by-step explanation:

because real number values of x are not the same

21. A right pyramid has a surface area of 258 cm-.
A right cone has a base radius of 4 cm. The
cone and pyramid have equal surface areas.
What is the height of the cone to the nearest
tenth of a centimetre?

Answers

Answer:

4/7  4 by 12

Step-by-step explanation:

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