Solve -25(57/14+124/12)

$$-25( 5 \frac { 7 } { 14 } + 12 \frac { 4 } { 12 } )$$

Evaluate

$$-\frac{2675}{6}\approx -445.833333333$$

Solution Steps

Multiply 5 and 14 to get 70.

$$-25\left(\frac{70+7}{14}+\frac{12\times 12+4}{12}\right)$$

Add 70 and 7 to get 77.

$$-25\left(\frac{77}{14}+\frac{12\times 12+4}{12}\right)$$

Reduce the fraction \frac{77}{14} to lowest terms by extracting and canceling out 7.

$$-25\left(\frac{11}{2}+\frac{12\times 12+4}{12}\right)$$

Multiply 12 and 12 to get 144.

$$-25\left(\frac{11}{2}+\frac{144+4}{12}\right)$$

Add 144 and 4 to get 148.

$$-25\left(\frac{11}{2}+\frac{148}{12}\right)$$

Reduce the fraction \frac{148}{12} to lowest terms by extracting and canceling out 4.

$$-25\left(\frac{11}{2}+\frac{37}{3}\right)$$

Least common multiple of 2 and 3 is 6. Convert \frac{11}{2} and \frac{37}{3} to fractions with denominator 6.

$$-25\left(\frac{33}{6}+\frac{74}{6}\right)$$

Since \frac{33}{6} and \frac{74}{6} have the same denominator, add them by adding their numerators.

$$-25\times \frac{33+74}{6}$$

Add 33 and 74 to get 107.

$$-25\times \frac{107}{6}$$

Express -25\times \frac{107}{6} as a single fraction.

$$\frac{-25\times 107}{6}$$

Multiply -25 and 107 to get -2675.

$$\frac{-2675}{6}$$

Fraction \frac{-2675}{6} can be rewritten as -\frac{2675}{6} by extracting the negative sign.

$$-\frac{2675}{6}$$

Factor

$$-\frac{2675}{6} = -445\frac{5}{6} = -445.8333333333333$$