Solve 3/8+1/7*13/4

$$\frac{ 3 }{ 8 } + \frac{ 1 }{ 7 } \times 1 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{3}{8}+\frac{1}{7}\times \frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{3}{8}+\frac{1}{7}\times \frac{7}{4}$$

Multiply \frac{1}{7} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}+\frac{1\times 7}{7\times 4}$$

Cancel out 7 in both numerator and denominator.

$$\frac{3}{8}+\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{1}{4} to fractions with denominator 8.

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

Since \frac{3}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$