Mr. barber used 5/6 yard of wire to put up a ceiling fan. he used 1/2 yard of wire to fix a switch pt 1 out of 2 complete the calculations below to write equivalent fraction with the least common denominator

Least common denominator is the smallest number that can be divided by both given denominators.
From the problem, we have :
[tex]\frac{5}{6}\quad \text{and}\quad \frac{1}{2}[/tex]The denominators are 6 and 2.
The smallest number that can be divided by 6 and 2 is 6.
6/6 = 1 and 6/2 = 3
So we need an equivalent fraction with a denominator of 6.
For 5/6, multiply this by 1/1 since the denominator is already 6.
[tex]\frac{5}{6}=\frac{5\times1}{6\times1}=\frac{5}{6}[/tex]For 1/2, multiply this by 3/3 to make the denominator equal to 6.
[tex]\frac{1}{2}=\frac{1\times3}{2\times3}=\frac{3}{6}[/tex]