Solve -72/7-31/5*(-5/7)=-7

$$- 7 \frac { 2 } { 7 } - 3 \frac { 1 } { 5 } \times ( - \frac { 5 } { 7 } ) = - 7$$

Verify

Solution Steps

Multiply both sides of the equation by 35, the least common multiple of 7,5.

$$-5\left(7\times 7+2\right)-7\left(3\times 5+1\right)\left(-\frac{5}{7}\right)=-245$$

Multiply 7 and 7 to get 49.

$$-5\left(49+2\right)-7\left(3\times 5+1\right)\left(-\frac{5}{7}\right)=-245$$

Add 49 and 2 to get 51.

$$-5\times 51-7\left(3\times 5+1\right)\left(-\frac{5}{7}\right)=-245$$

Multiply -5 and 51 to get -255.

$$-255-7\left(3\times 5+1\right)\left(-\frac{5}{7}\right)=-245$$

Multiply 3 and 5 to get 15.

$$-255-7\left(15+1\right)\left(-\frac{5}{7}\right)=-245$$

Add 15 and 1 to get 16.

$$-255-7\times 16\left(-\frac{5}{7}\right)=-245$$

Multiply 7 and 16 to get 112.

$$-255-112\left(-\frac{5}{7}\right)=-245$$

Express 112\left(-\frac{5}{7}\right) as a single fraction.

$$-255-\frac{112\left(-5\right)}{7}=-245$$

Multiply 112 and -5 to get -560.

$$-255-\frac{-560}{7}=-245$$

Divide -560 by 7 to get -80.

$$-255-\left(-80\right)=-245$$

The opposite of -80 is 80.

$$-255+80=-245$$

Add -255 and 80 to get -175.

$$-175=-245$$

Compare -175 and -245.

$$\text{false}$$