Question

80. If the value of X and Y in the fraction XZN are both tripled, how does the value of the fraction change? Increases by half? Remains the same? Triples? Decreases by half?

Answer 1

Remains the same

Explanation:

Given

`(XZ)/(Y)`

Required

What happens when the X and Y are tripled;

`Initial\ Fraction = (XZ)/(Y)`

When both X and Y are tripled, the new fraction is represented below:

`New\ Fraction = (3XZ)/(3Y)`

When the numerator and denominator are divided by their common factor (3), the new fraction becomes

`New\ Fraction = (3XZ/3)/(3Y/3)`

`New\ Fraction = (XZ)/(Y)`

Compare the new fraction with the initial fraction; one would notice that they have the same value;

Hence, the fraction remains the same