Question

Write the equivalent fractions of $\frac{42}{56}$.

Answer 1

Find the fractions that are equivalent to $\frac{42}{56}$:

Equivalent fractions are those with distinct numerators and denominators that are equal to the same fraction.

Now, to obtain equivalent fraction we need to divide the numerator and denominator by same number,

$\begin{array}{rcl}\frac{42}{56}& =& \frac{42÷7}{56÷7}\\ \therefore \frac{42}{56}& =& \frac{6}{8}\end{array}$

And,

$\begin{array}{rcl}\frac{42}{56}& =& \frac{42÷2}{56÷2}\\ \therefore \frac{42}{56}& =& \frac{21}{28}\end{array}$

Hence, fractions equivalent to $\frac{42}{56}$ are $\frac{6}{8},\frac{21}{28}$.