Question

What happens to the value of a fraction if the denominator of the fraction is decreased while the numerator is kept unchanged?

Answer 1

Define fraction and explain with example what is to happen if denominator changes while numerator remains constant

Fractions are basically a numerical value which represents a portion of a whole.

A fraction consists of two parts a numerator and a denominator.

The denominator represents the total number of parts of the whole and is below the fractional line.

The numerator represents the represented number of parts of the whole and is above the fractional line.

For example : $\frac{1}{6}$ is a fraction with $1$ as numerator and $6$ as denominator.

Now consider that the numerator remain unchanged but the denominator is decreased.

Let us assume that the denominator is decreased to $3$. Hence the new fraction is $\frac{1}{3}$.

This implies that we were considering $1$ out of the $6$ parts of the whole but now we are considering $1$out of the $3$ parts of the whole.

This would imply that the whole is divided into fewer parts and represents more value.

Hence, the value of the fraction increases when the denominator is decreased and the numerator remains unchanged.