Solve 21div(13/16*(1-6/13))

$$21 \div ( \frac{ 13 }{ 16 } \times (1- \frac{ 6 }{ 13 } ))$$

Evaluate

$$48$$

Solution Steps

Convert 1 to fraction \frac{13}{13}.

$$\frac{21}{\frac{13}{16}\left(\frac{13}{13}-\frac{6}{13}\right)}$$

Since \frac{13}{13} and \frac{6}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21}{\frac{13}{16}\times \frac{13-6}{13}}$$

Subtract 6 from 13 to get 7.

$$\frac{21}{\frac{13}{16}\times \frac{7}{13}}$$

Multiply \frac{13}{16} times \frac{7}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21}{\frac{13\times 7}{16\times 13}}$$

Cancel out 13 in both numerator and denominator.

$$\frac{21}{\frac{7}{16}}$$

Divide 21 by \frac{7}{16} by multiplying 21 by the reciprocal of \frac{7}{16}.

$$21\times \frac{16}{7}$$

Express 21\times \frac{16}{7} as a single fraction.

$$\frac{21\times 16}{7}$$

Multiply 21 and 16 to get 336.

$$\frac{336}{7}$$

Divide 336 by 7 to get 48.

$$48$$

Factor

$$2^{4}\times 3$$