Solve (-64)div(-7/31)+(-64)*33/7

$$( - 64 ) \div ( - \frac { 7 } { 31 } ) + ( - 64 ) \times 3 \frac { 3 } { 7 }$$

Evaluate

$$64$$

Solution Steps

Divide -64 by -\frac{7}{31} by multiplying -64 by the reciprocal of -\frac{7}{31}.

$$-64\left(-\frac{31}{7}\right)-64\times \frac{3\times 7+3}{7}$$

Express -64\left(-\frac{31}{7}\right) as a single fraction.

$$\frac{-64\left(-31\right)}{7}-64\times \frac{3\times 7+3}{7}$$

Multiply -64 and -31 to get 1984.

$$\frac{1984}{7}-64\times \frac{3\times 7+3}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{1984}{7}-64\times \frac{21+3}{7}$$

Add 21 and 3 to get 24.

$$\frac{1984}{7}-64\times \frac{24}{7}$$

Express -64\times \frac{24}{7} as a single fraction.

$$\frac{1984}{7}+\frac{-64\times 24}{7}$$

Multiply -64 and 24 to get -1536.

$$\frac{1984}{7}+\frac{-1536}{7}$$

Fraction \frac{-1536}{7} can be rewritten as -\frac{1536}{7} by extracting the negative sign.

$$\frac{1984}{7}-\frac{1536}{7}$$

Since \frac{1984}{7} and \frac{1536}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1984-1536}{7}$$

Subtract 1536 from 1984 to get 448.

$$\frac{448}{7}$$

Divide 448 by 7 to get 64.

$$64$$

Factor

$$2^{6}$$