Solve 1/7div2/13*7

$$\frac { 1 } { 7 } \div \frac { 2 } { 13 } \times 7$$

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Divide \frac{1}{7} by \frac{2}{13} by multiplying \frac{1}{7} by the reciprocal of \frac{2}{13}.

$$\frac{1}{7}\times \frac{13}{2}\times 7$$

Multiply \frac{1}{7} times \frac{13}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 13}{7\times 2}\times 7$$

Do the multiplications in the fraction \frac{1\times 13}{7\times 2}.

$$\frac{13}{14}\times 7$$

Express \frac{13}{14}\times 7 as a single fraction.

$$\frac{13\times 7}{14}$$

Multiply 13 and 7 to get 91.

$$\frac{91}{14}$$

Reduce the fraction \frac{91}{14} to lowest terms by extracting and canceling out 7.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$