Solve 10-9/8-8(-9/8)-3/4=2left(-9/8-3right)

$$10- \frac{ 9 }{ 8 } - \frac{ 8(- \frac{ 9 }{ 8 } )-3 }{ 4 } = 2 \left( - \frac{ 9 }{ 8 } -3 \right)$$

Verify

Solution Steps

Multiply both sides of the equation by 8, the least common multiple of 8,4.

$$80-9-2\left(8\left(-\frac{9}{8}\right)-3\right)=16\left(-\frac{9}{8}-3\right)$$

Subtract 9 from 80 to get 71.

$$71-2\left(8\left(-\frac{9}{8}\right)-3\right)=16\left(-\frac{9}{8}-3\right)$$

Cancel out 8 and 8.

$$71-2\left(-9-3\right)=16\left(-\frac{9}{8}-3\right)$$

Subtract 3 from -9 to get -12.

$$71-2\left(-12\right)=16\left(-\frac{9}{8}-3\right)$$

Multiply -2 and -12 to get 24.

$$71+24=16\left(-\frac{9}{8}-3\right)$$

Add 71 and 24 to get 95.

$$95=16\left(-\frac{9}{8}-3\right)$$

Convert 3 to fraction \frac{24}{8}.

$$95=16\left(-\frac{9}{8}-\frac{24}{8}\right)$$

Since -\frac{9}{8} and \frac{24}{8} have the same denominator, subtract them by subtracting their numerators.

$$95=16\times \frac{-9-24}{8}$$

Subtract 24 from -9 to get -33.

$$95=16\left(-\frac{33}{8}\right)$$

Express 16\left(-\frac{33}{8}\right) as a single fraction.

$$95=\frac{16\left(-33\right)}{8}$$

Multiply 16 and -33 to get -528.

$$95=\frac{-528}{8}$$

Divide -528 by 8 to get -66.

$$95=-66$$

Compare 95 and -66.

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