Solve 2(88/23)-5(-20/23)=12

$$2 ( \frac { 88 } { 23 } ) - 5 ( - \frac { 20 } { 23 } ) = 12$$

Verify

Solution Steps

Express 2\times \frac{88}{23} as a single fraction.

$$\frac{2\times 88}{23}-5\left(-\frac{20}{23}\right)=12$$

Multiply 2 and 88 to get 176.

$$\frac{176}{23}-5\left(-\frac{20}{23}\right)=12$$

Express 5\left(-\frac{20}{23}\right) as a single fraction.

$$\frac{176}{23}-\frac{5\left(-20\right)}{23}=12$$

Multiply 5 and -20 to get -100.

$$\frac{176}{23}-\frac{-100}{23}=12$$

Fraction \frac{-100}{23} can be rewritten as -\frac{100}{23} by extracting the negative sign.

$$\frac{176}{23}-\left(-\frac{100}{23}\right)=12$$

The opposite of -\frac{100}{23} is \frac{100}{23}.

$$\frac{176}{23}+\frac{100}{23}=12$$

Since \frac{176}{23} and \frac{100}{23} have the same denominator, add them by adding their numerators.

$$\frac{176+100}{23}=12$$

Add 176 and 100 to get 276.

$$\frac{276}{23}=12$$

Divide 276 by 23 to get 12.

$$12=12$$

Compare 12 and 12.

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