Fill in the blank to make an equivalent fraction with the given denominator. $$\frac { 8 } { 5 t } = \frac { } { 15 t ^ { 2 } z }$$
A) $t z$
B) $3 t z$
C) $24 t z$
D) $120 t ^ { 2 } z$

Question

Quizplus · Accepted Answer

To make the fractions equivalent, we need to multiply both the numerator and the denominator of the original fraction by the same factor. The denominator goes from $5t$ to $15t^2z$, which means it was multiplied by $3tz$. Therefore, to keep the fraction equivalent, we also multiply the numerator $8$ by $3tz$, resulting in $24tz$.

Fill in the Blank to Make an Equivalent Fraction with the Given