Question

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

Answer 1

Least common denominator is the smallest number that can be divided by both given denominators.

From the problem, we have :

`(5)/(6)\quad \text{and}\quad (1)/(2)`

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.

`(5)/(6)=(5*1)/(6*1)=(5)/(6)`

For 1/2, multiply this by 3/3 to make the denominator equal to 6.

`(1)/(2)=(1*3)/(2*3)=(3)/(6)`