Solve 13/4*(1/8+1/2)

$$1 \frac { 3 } { 4 } \times ( \frac { 1 } { 8 } + \frac { 1 } { 2 } )$$

Evaluate

$$\frac{35}{32}=1.09375$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}\left(\frac{1}{8}+\frac{1}{2}\right)$$

Add 4 and 3 to get 7.

$$\frac{7}{4}\left(\frac{1}{8}+\frac{1}{2}\right)$$

Least common multiple of 8 and 2 is 8. Convert \frac{1}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{7}{4}\left(\frac{1}{8}+\frac{4}{8}\right)$$

Since \frac{1}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

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

Add 1 and 4 to get 5.

$$\frac{7}{4}\times \frac{5}{8}$$

Multiply \frac{7}{4} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{4\times 8}$$

Do the multiplications in the fraction \frac{7\times 5}{4\times 8}.

$$\frac{35}{32}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {5}} = 1\frac{3}{32} = 1.09375$$