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

Answer:

Remains the same

Step-by-step explanation:

Given

$\frac{XZ}{Y}$

Required

What happens when the X and Y are tripled;

$Initial\ Fraction = \frac{XZ}{Y}$

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

$New\ Fraction = \frac{3XZ}{3Y}$

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

$New\ Fraction = \frac{3XZ/3}{3Y/3}$

$New\ Fraction = \frac{XZ}{Y}$

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

Hence, the fraction remains the same