Solve 5/12+3/8:3/4=11/12

$$\frac { 5 } { 12 } + \frac { 3 } { 8 } : \frac { 3 } { 4 } = \frac { 11 } { 12 }$$

Verify

Solution Steps

Divide \frac{3}{8} by \frac{3}{4} by multiplying \frac{3}{8} by the reciprocal of \frac{3}{4}.

$$\frac{5}{12}+\frac{3}{8}\times \frac{4}{3}=\frac{11}{12}$$

Multiply \frac{3}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{12}+\frac{3\times 4}{8\times 3}=\frac{11}{12}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5}{12}+\frac{4}{8}=\frac{11}{12}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{5}{12}+\frac{1}{2}=\frac{11}{12}$$

Least common multiple of 12 and 2 is 12. Convert \frac{5}{12} and \frac{1}{2} to fractions with denominator 12.

$$\frac{5}{12}+\frac{6}{12}=\frac{11}{12}$$

Since \frac{5}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{12}=\frac{11}{12}$$

Add 5 and 6 to get 11.

$$\frac{11}{12}=\frac{11}{12}$$

Compare \frac{11}{12} and \frac{11}{12}.

$$\text{true}$$