Solve (-77-73)*(-7/25div-63+-261div14/5)

$$(-77-73) \times (- \frac{ 7 }{ 25 } \div -63+-261 \div 1 \frac{ 4 }{ 5 } )$$

Evaluate

$$\frac{65248}{3}\approx 21749.333333333$$

Solution Steps

Subtract 73 from -77 to get -150.

$$-150\left(\frac{-\frac{7}{25}}{-63}+\frac{-261}{\frac{5+4}{5}}\right)$$

Express \frac{-\frac{7}{25}}{-63} as a single fraction.

$$-150\left(\frac{-7}{25\left(-63\right)}+\frac{-261}{\frac{5+4}{5}}\right)$$

Multiply 25 and -63 to get -1575.

$$-150\left(\frac{-7}{-1575}+\frac{-261}{\frac{5+4}{5}}\right)$$

Reduce the fraction \frac{-7}{-1575} to lowest terms by extracting and canceling out -7.

$$-150\left(\frac{1}{225}+\frac{-261}{\frac{5+4}{5}}\right)$$

Divide -261 by \frac{1\times 5+4}{5} by multiplying -261 by the reciprocal of \frac{1\times 5+4}{5}.

$$-150\left(\frac{1}{225}+\frac{-261\times 5}{5+4}\right)$$

Multiply -261 and 5 to get -1305.

$$-150\left(\frac{1}{225}+\frac{-1305}{5+4}\right)$$

Add 5 and 4 to get 9.

$$-150\left(\frac{1}{225}+\frac{-1305}{9}\right)$$

Divide -1305 by 9 to get -145.

$$-150\left(\frac{1}{225}-145\right)$$

Convert 145 to fraction \frac{32625}{225}.

$$-150\left(\frac{1}{225}-\frac{32625}{225}\right)$$

Since \frac{1}{225} and \frac{32625}{225} have the same denominator, subtract them by subtracting their numerators.

$$-150\times \frac{1-32625}{225}$$

Subtract 32625 from 1 to get -32624.

$$-150\left(-\frac{32624}{225}\right)$$

Express -150\left(-\frac{32624}{225}\right) as a single fraction.

$$\frac{-150\left(-32624\right)}{225}$$

Multiply -150 and -32624 to get 4893600.

$$\frac{4893600}{225}$$

Reduce the fraction \frac{4893600}{225} to lowest terms by extracting and canceling out 75.

$$\frac{65248}{3}$$

Factor

$$\frac{2 ^ {5} \cdot 2039}{3} = 21749\frac{1}{3} = 21749.333333333332$$