Solve 3/5+5(-1)/5=4(-1/10)/7

$$\frac { 3 } { 5 } + \frac { 5 ( - 1 ) } { 5 } = \frac { 4 ( - \frac { 1 } { 10 } ) } { 7 }$$

Verify

Solution Steps

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

$$21+7\times 5\left(-1\right)=5\times 4\left(-\frac{1}{10}\right)$$

Multiply 7 and 5 to get 35.

$$21+35\left(-1\right)=5\times 4\left(-\frac{1}{10}\right)$$

Multiply 35 and -1 to get -35.

$$21-35=5\times 4\left(-\frac{1}{10}\right)$$

Subtract 35 from 21 to get -14.

$$-14=5\times 4\left(-\frac{1}{10}\right)$$

Multiply 5 and 4 to get 20.

$$-14=20\left(-\frac{1}{10}\right)$$

Express 20\left(-\frac{1}{10}\right) as a single fraction.

$$-14=\frac{20\left(-1\right)}{10}$$

Multiply 20 and -1 to get -20.

$$-14=\frac{-20}{10}$$

Divide -20 by 10 to get -2.

$$-14=-2$$

Compare -14 and -2.

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