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2 years ago

What is the quotient if 2/4 of 40 is divided by 4/5 of 5/7?

Mathematics

1 answer:

timofeeve [1]2 years ago

7 0

Answer:

2/4 * 40 4/5 * 5/7 = 102/

= 14 4/

≅ 14.5714286

Step-by-step explanation:

To find a new numerator:

a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/

= 200/

b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204

c) Write a previous answer (new numerator 204) over the denominator 5.

Forty and four fifths is two hundred four fifths

Multiple: 2/

* 204/

= 2 · 204/

4 · 5

= 408/

= 102 · 4/

5 · 4

= 102/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/

In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.

Multiple: the result of step No. 2 * 5/

= 102/

* 5/

= 102 · 5/

5 · 7

= 510/

= 102 · 5/

7 · 5

= 102/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/

In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.

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Step-by-step explanation:

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