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3 years ago

Divide 17/28 by 2/3 input your answer as a reduced fraction help ASAP

Mathematics

2 answers:

Anit [1.1K]3 years ago

7 0

Answer:

51/56

Step-by-step explanation:

When dividing two fractions, you can get the same result by multiplying the first fraction by the reciprocal of the second fraction.

So,

17/28 ➗ 2/3 can be rewritten as:

17/28 ❌ 3/2

Then, simply multiply the numerators and the denominators together.

17*3=51

28*2=56

So, the answer is 51/56.

This fraction is already in its simplest form, so it cannot be reduced.

Daniel [21]3 years ago

3 0

The answer is 51/56 :)

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3 years ago

There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n

Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

1) Translate the information into equations

"One is 7 more than twice the other"

⇒ $y=2x+7$

"The sum of the numbers is 43"

⇒ $x+y=43$

2) Use substitution to solve for the smaller number

$x+y=43$

Plug the equation $y=2x+7$ into the above equation

$x+(2x+7)=43\\x+2x+7=43\\3x+7=43$

Subtract both sides by 7

$3x+7-7=43-7\\3x=36$

Divide both sides by 3 to isolate x

$\frac{3x}{3} = \frac{36}{3} \\x=12$

Therefore, the smaller number equates to 12.

3) Use substitution to solve for the greater number

$x+y=43$

Plug in x as 12

$12+y=43$

Subtract both sides by 12 to isolate y

$12+y-12=43-12\\y=31$

Therefore, the greater number equates to 31.

I hope this helps!

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3 years ago