Question

use the least common denominator to enter an equivalent fraction for ea fraction.

Answer 1

Given

$\frac{5}{28}and\frac{3}{56}$

To find the LCD, we find the LCM of the denominators. Find the LCM of 28 and 56:

$\begin{gathered} 28=2\cdot2\cdot7 \\ 56=2\cdot2\cdot2\cdot7 \end{gathered}$

So:

$\text{LCD}=2\cdot2\cdot2\cdot7=56$

Next, to write 5/28 as a fraction with a common denominator we will multiply the denominator and numerator by 2. This is:

$\frac{5}{28}=\frac{5\cdot2}{28\cdot2}=\frac{10}{56}$

And to write 3/56 as a fraction with a common denominator we will multiply the denominator and numerator by 1. So:

$\frac{3}{56}=\frac{3\cdot1}{56\cdot1}=\frac{3}{56}$

Answer:

$\begin{gathered} \frac{5}{28}=\frac{10}{56} \\ \frac{3}{56}=\frac{3}{56} \end{gathered}$