What is the fraction that is found halfway between 5/16 and 7/11 ?

1 Answer
May 6, 2016

167/352

Explanation:

To find the fraction found halfway between 5/16 and 7/11 is to find the average of the two fractions.

Recall that the average is found by adding a certain amount of numbers together and dividing it by the amount of numbers in the set.

In your case, we must add 5/16 and 7/11 together and divide it by 2, since there are two fractions.

Step 1: Adding the Two Fractions Together

Thus,

5/16+7/11

In order to add the two fractions together, find the L.C.M. of the two denominators of the fractions. As a shortcut, multiply each fraction by the denominator of the other fraction in the numerator and denominator.

=5/16(11/11)+7/11(16/16)

Simplify.

=55/176+112/176

=color(blue)(167/176)

Step 2: Dividing the Sum by 2

color(blue)(167/176)-:2

Recall that dividing by 2 is the same as multiplying by the reciprocal of 2. Thus,

=167/176*1/2

=color(green)(|bar(ul(color(white)(a/a)color(black)(167/352)color(white)(a/a)|)))