Solve 1/2(-20/7)=2/7+3(-frac{20/7}{5}

$$\frac{ 1 }{ 2 } (- \frac{ 20 }{ 7 } ) = \frac{ 2 }{ 7 } + \frac{ 3(- \frac{ 20 }{ 7 } }{ 5 }$$

Verify

Solution Steps

Multiply both sides of the equation by 70, the least common multiple of 2,7,5.

$$35\left(-\frac{20}{7}\right)=20+14\times 3\left(-\frac{20}{7}\right)$$

Express 35\left(-\frac{20}{7}\right) as a single fraction.

$$\frac{35\left(-20\right)}{7}=20+14\times 3\left(-\frac{20}{7}\right)$$

Multiply 35 and -20 to get -700.

$$\frac{-700}{7}=20+14\times 3\left(-\frac{20}{7}\right)$$

Divide -700 by 7 to get -100.

$$-100=20+14\times 3\left(-\frac{20}{7}\right)$$

Multiply 14 and 3 to get 42.

$$-100=20+42\left(-\frac{20}{7}\right)$$

Express 42\left(-\frac{20}{7}\right) as a single fraction.

$$-100=20+\frac{42\left(-20\right)}{7}$$

Multiply 42 and -20 to get -840.

$$-100=20+\frac{-840}{7}$$

Divide -840 by 7 to get -120.

$$-100=20-120$$

Subtract 120 from 20 to get -100.

$$-100=-100$$

Compare -100 and -100.

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