Solve 35/64:5/8*2+5/8*2

$$\frac { 35 } { 64 } : \frac { 5 } { 8 } \cdot 2 + \frac { 5 } { 8 } \cdot 2$$

Evaluate

$$3$$

Solution Steps

Divide \frac{35}{64} by \frac{5}{8} by multiplying \frac{35}{64} by the reciprocal of \frac{5}{8}.

$$\frac{35}{64}\times \frac{8}{5}\times 2+\frac{5}{8}\times 2$$

Multiply \frac{35}{64} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 8}{64\times 5}\times 2+\frac{5}{8}\times 2$$

Do the multiplications in the fraction \frac{35\times 8}{64\times 5}.

$$\frac{280}{320}\times 2+\frac{5}{8}\times 2$$

Reduce the fraction \frac{280}{320} to lowest terms by extracting and canceling out 40.

$$\frac{7}{8}\times 2+\frac{5}{8}\times 2$$

Express \frac{7}{8}\times 2 as a single fraction.

$$\frac{7\times 2}{8}+\frac{5}{8}\times 2$$

Multiply 7 and 2 to get 14.

$$\frac{14}{8}+\frac{5}{8}\times 2$$

Reduce the fraction \frac{14}{8} to lowest terms by extracting and canceling out 2.

$$\frac{7}{4}+\frac{5}{8}\times 2$$

Express \frac{5}{8}\times 2 as a single fraction.

$$\frac{7}{4}+\frac{5\times 2}{8}$$

Multiply 5 and 2 to get 10.

$$\frac{7}{4}+\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{7}{4}+\frac{5}{4}$$

Since \frac{7}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+5}{4}$$

Add 7 and 5 to get 12.

$$\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$3$$

Factor

$$3$$