Solve (-7.7-7.3)*(-7/25div-6.3+-2.61div14/5)

$$(-7.7-7.3) \times (- \frac{ 7 }{ 25 } \div -6.3+-2.61 \div 1 \frac{ 4 }{ 5 } )$$

Evaluate

$$\frac{253}{12}\approx 21.083333333$$

Solution Steps

Subtract 7.3 from -7.7 to get -15.

$$-15\left(\frac{-\frac{7}{25}}{-6.3}+\frac{-2.61}{\frac{5+4}{5}}\right)$$

Express \frac{-\frac{7}{25}}{-6.3} as a single fraction.

$$-15\left(\frac{-7}{25\left(-6.3\right)}+\frac{-2.61}{\frac{5+4}{5}}\right)$$

Multiply 25 and -6.3 to get -157.5.

$$-15\left(\frac{-7}{-157.5}+\frac{-2.61}{\frac{5+4}{5}}\right)$$

Expand \frac{-7}{-157.5} by multiplying both numerator and the denominator by 10.

$$-15\left(\frac{-70}{-1575}+\frac{-2.61}{\frac{5+4}{5}}\right)$$

Reduce the fraction \frac{-70}{-1575} to lowest terms by extracting and canceling out -35.

$$-15\left(\frac{2}{45}+\frac{-2.61}{\frac{5+4}{5}}\right)$$

Divide -2.61 by \frac{1\times 5+4}{5} by multiplying -2.61 by the reciprocal of \frac{1\times 5+4}{5}.

$$-15\left(\frac{2}{45}+\frac{-2.61\times 5}{5+4}\right)$$

Multiply -2.61 and 5 to get -13.05.

$$-15\left(\frac{2}{45}+\frac{-13.05}{5+4}\right)$$

Add 5 and 4 to get 9.

$$-15\left(\frac{2}{45}+\frac{-13.05}{9}\right)$$

Expand \frac{-13.05}{9} by multiplying both numerator and the denominator by 100.

$$-15\left(\frac{2}{45}+\frac{-1305}{900}\right)$$

Reduce the fraction \frac{-1305}{900} to lowest terms by extracting and canceling out 45.

$$-15\left(\frac{2}{45}-\frac{29}{20}\right)$$

Least common multiple of 45 and 20 is 180. Convert \frac{2}{45} and \frac{29}{20} to fractions with denominator 180.

$$-15\left(\frac{8}{180}-\frac{261}{180}\right)$$

Since \frac{8}{180} and \frac{261}{180} have the same denominator, subtract them by subtracting their numerators.

$$-15\times \frac{8-261}{180}$$

Subtract 261 from 8 to get -253.

$$-15\left(-\frac{253}{180}\right)$$

Express -15\left(-\frac{253}{180}\right) as a single fraction.

$$\frac{-15\left(-253\right)}{180}$$

Multiply -15 and -253 to get 3795.

$$\frac{3795}{180}$$

Reduce the fraction \frac{3795}{180} to lowest terms by extracting and canceling out 15.

$$\frac{253}{12}$$

Factor

$$\frac{11 \cdot 23}{3 \cdot 2 ^ {2}} = 21\frac{1}{12} = 21.083333333333332$$