Question

The numerator and denominator of the simplest form of $\frac{75}{105}$ is ___ and ___ respectively.

• A. 7, 5
• B. 5, 7
• C. 3, 5
• D. 5, 3

Answer 1

The correct option is B 5, 7

Consider the fraction $\frac{75}{105}.$

Dividing the numerator and denominator by 5, we get
$\frac{75÷5}{105÷5}=\frac{15}{21}$

Note that 15 and 21 have 3 as common factor.
$\Rightarrow \frac{15÷3}{21÷3}=\frac{5}{7}$

Since 5 and 7 have no common factors other than 1, we can conclude that $\frac{5}{7}$ is the simplest form of $\frac{75}{105},$ where 5 is the numerator and 7 is the denominator.