Question

Write the missing numbers to describe the equivalent fraction you found in problem 1.

Answer 1

The missing numbers in the equivalent fractions are:

x = 84

y = 5

z = 420

To find the missing numbers in the equivalent fractions, we need to express the given fraction in terms of a common denominator.

The given equivalent fractions are:

`( (12)/(7) = (36)/(21) = (96)/(x) = (60)/(y) = (z)/(77) )`

To find the missing numbers, we can first simplify the given equivalent fractions.

`( (12)/(7) = (36)/(21) )`

This is already in simplest form.

`( (36)/(21) = (96)/(x) )`

To express
`( (36)/(21) )` as an equivalent fraction with a denominator of 96, we can multiply both the numerator and denominator by 4.

`( (36)/(21) = (36 * 4)/(21 * 4) = (144)/(84) )`

Therefore, ( x = 84 )

`( (96)/(x) = (60)/(y) )`

To express
`( (96)/(x) )` as an equivalent fraction with a denominator of 60, we can simplify the fraction by dividing both the numerator and denominator by 12.

`( (96)/(x) = (96 / 12)/(x / 12) = (8)/(x / 12) )`

To express ( \frac{60}{y} ) as an equivalent fraction with a denominator of 60, we can simplify the fraction by dividing both the numerator and denominator by 12.

`( (60)/(y) = (60 / 12)/(y / 12) = (5)/(y / 12) )`

Therefore, ( x = 8 ) and ( y = 5 )

`( (60)/(y) = (z)/(77) )`

To express
`( (60)/(y) )` as an equivalent fraction with a denominator of 77, we can multiply both the numerator and denominator by 7.

`( (60)/(y) = (60 * 7)/(y * 7) = (420)/(7y) )`

Therefore, ( z = 420 )

Therefore, the missing numbers in the equivalent fractions are:

x = 84

y = 5

z = 420

Complete question:

Write the missing numbers in the following equivalent fractions. 12/7 =36/21=96/?=60/?=?/77