Question

3/2 + 1/3


(please explain in detail)​

Answer 1

Step-by-step explanation:

The fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(3/2, 1/3) = 6

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is multiplying each fraction by 1.

(32×33)+(13×22)=?

Complete the multiplication and the equation becomes

96+26=?

The two fractions now have like denominators so you can add the numerators.

Then:

9+26=116

This fraction cannot be reduced.

The fraction

116

is the same as

11÷6

Convert to a mixed number using

long division for 11 ÷ 6 = 1R5, so

116=156

Therefore:

3/2+1/3=1 5/6