Solve 4/7*(-25/8)-(-43/7)*11/62

$$\frac { 4 } { 7 } \cdot ( - 2 \frac { 5 } { 8 } ) - ( - 4 \frac { 3 } { 7 } ) \cdot \frac { 11 } { 62 }$$

Evaluate

$$-\frac{5}{7}\approx -0.714285714$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{4}{7}\left(-\frac{16+5}{8}\right)-\left(-\frac{4\times 7+3}{7}\right)\times \frac{11}{62}$$

Add 16 and 5 to get 21.

$$\frac{4}{7}\left(-\frac{21}{8}\right)-\left(-\frac{4\times 7+3}{7}\right)\times \frac{11}{62}$$

Multiply \frac{4}{7} times -\frac{21}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\left(-21\right)}{7\times 8}-\left(-\frac{4\times 7+3}{7}\right)\times \frac{11}{62}$$

Do the multiplications in the fraction \frac{4\left(-21\right)}{7\times 8}.

$$\frac{-84}{56}-\left(-\frac{4\times 7+3}{7}\right)\times \frac{11}{62}$$

Reduce the fraction \frac{-84}{56} to lowest terms by extracting and canceling out 28.

$$-\frac{3}{2}-\left(-\frac{4\times 7+3}{7}\right)\times \frac{11}{62}$$

Multiply 4 and 7 to get 28.

$$-\frac{3}{2}-\left(-\frac{28+3}{7}\right)\times \frac{11}{62}$$

Add 28 and 3 to get 31.

$$-\frac{3}{2}-\left(-\frac{31}{7}\times \frac{11}{62}\right)$$

Multiply -\frac{31}{7} times \frac{11}{62} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{3}{2}-\frac{-31\times 11}{7\times 62}$$

Do the multiplications in the fraction \frac{-31\times 11}{7\times 62}.

$$-\frac{3}{2}-\frac{-341}{434}$$

Reduce the fraction \frac{-341}{434} to lowest terms by extracting and canceling out 31.

$$-\frac{3}{2}-\left(-\frac{11}{14}\right)$$

The opposite of -\frac{11}{14} is \frac{11}{14}.

$$-\frac{3}{2}+\frac{11}{14}$$

Least common multiple of 2 and 14 is 14. Convert -\frac{3}{2} and \frac{11}{14} to fractions with denominator 14.

$$-\frac{21}{14}+\frac{11}{14}$$

Since -\frac{21}{14} and \frac{11}{14} have the same denominator, add them by adding their numerators.

$$\frac{-21+11}{14}$$

Add -21 and 11 to get -10.

$$\frac{-10}{14}$$

Reduce the fraction \frac{-10}{14} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{7}$$

Factor

$$-\frac{5}{7} = -0.7142857142857143$$