Solve 424/30+(-725/30)

$$4 \frac { 24 } { 30 } + ( - 7 \frac { 25 } { 30 } )$$

Evaluate

$$-\frac{91}{30}\approx -3.033333333$$

Solution Steps

Multiply 4 and 30 to get 120.

$$\frac{120+24}{30}-\frac{7\times 30+25}{30}$$

Add 120 and 24 to get 144.

$$\frac{144}{30}-\frac{7\times 30+25}{30}$$

Reduce the fraction \frac{144}{30} to lowest terms by extracting and canceling out 6.

$$\frac{24}{5}-\frac{7\times 30+25}{30}$$

Multiply 7 and 30 to get 210.

$$\frac{24}{5}-\frac{210+25}{30}$$

Add 210 and 25 to get 235.

$$\frac{24}{5}-\frac{235}{30}$$

Reduce the fraction \frac{235}{30} to lowest terms by extracting and canceling out 5.

$$\frac{24}{5}-\frac{47}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{24}{5} and \frac{47}{6} to fractions with denominator 30.

$$\frac{144}{30}-\frac{235}{30}$$

Since \frac{144}{30} and \frac{235}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{144-235}{30}$$

Subtract 235 from 144 to get -91.

$$-\frac{91}{30}$$

Factor

$$-\frac{91}{30} = -3\frac{1}{30} = -3.033333333333333$$