Question

Can someone help me on this

Answer 1

`(3)/(4) = (9)/(12)`

`(1)/(3) = (2)/(6)`

`(2)/(4) = (4)/(8)`

Explanation:

To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.

Let's solve the given problem:

Problem 1:

`(3)/(4) = (x)/(12)`

To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.

Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.

Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.

Thus:

`(3)/(4) = (3*3)/(4*3)`

`(3)/(4) = (9)/(12)`

Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.

Problem 2:

`(1)/(3) = (2)/(x)`

The numerator, 1, was multiplied by 2 to get 2.

Therefore:

`(1)/(3) = (1*2)/(3*2)`

`(1)/(3) = (2)/(6)`

Problem 3:

`(2)/(4) = (x)/(y)`

We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.

Let's multiply by 2 to get am equivalent fraction.

`(2)/(4) = (2*2)/(4*2)`

`(2)/(4) = (4)/(8)`