Solve 42*(-2/3)+(-3/4)=0.25

$$42 \times ( - \frac { 2 } { 3 } ) + ( - \frac { 3 } { 4 } ) = 0.25$$

Verify

Solution Steps

Express 42\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{42\left(-2\right)}{3}-\frac{3}{4}=0.25$$

Multiply 42 and -2 to get -84.

$$\frac{-84}{3}-\frac{3}{4}=0.25$$

Divide -84 by 3 to get -28.

$$-28-\frac{3}{4}=0.25$$

Convert -28 to fraction -\frac{112}{4}.

$$-\frac{112}{4}-\frac{3}{4}=0.25$$

Since -\frac{112}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-112-3}{4}=0.25$$

Subtract 3 from -112 to get -115.

$$-\frac{115}{4}=0.25$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{115}{4}=\frac{1}{4}$$

Compare -\frac{115}{4} and \frac{1}{4}.

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