Solve 5/86/8+3/82/8

$$\frac{ 5 }{ 8 } \frac{ 6 }{ 8 } + \frac{ 3 }{ 8 } \frac{ 2 }{ 8 }$$

Evaluate

$$\frac{9}{16}=0.5625$$

Solution Steps

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{8}\times \frac{3}{4}+\frac{3}{8}\times \frac{2}{8}$$

Multiply \frac{5}{8} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{8\times 4}+\frac{3}{8}\times \frac{2}{8}$$

Do the multiplications in the fraction \frac{5\times 3}{8\times 4}.

$$\frac{15}{32}+\frac{3}{8}\times \frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{15}{32}+\frac{3}{8}\times \frac{1}{4}$$

Multiply \frac{3}{8} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{32}+\frac{3\times 1}{8\times 4}$$

Do the multiplications in the fraction \frac{3\times 1}{8\times 4}.

$$\frac{15}{32}+\frac{3}{32}$$

Since \frac{15}{32} and \frac{3}{32} have the same denominator, add them by adding their numerators.

$$\frac{15+3}{32}$$

Add 15 and 3 to get 18.

$$\frac{18}{32}$$

Reduce the fraction \frac{18}{32} to lowest terms by extracting and canceling out 2.

$$\frac{9}{16}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {4}} = 0.5625$$