Solve 30%+422/6-127

$$30 \% + 42 \frac { 2 } { 6 } - 127$$

Evaluate

$$-\frac{2531}{30}\approx -84.366666667$$

Solution Steps

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{3}{10}+\frac{42\times 6+2}{6}-127$$

Multiply 42 and 6 to get 252.

$$\frac{3}{10}+\frac{252+2}{6}-127$$

Add 252 and 2 to get 254.

$$\frac{3}{10}+\frac{254}{6}-127$$

Reduce the fraction \frac{254}{6} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}+\frac{127}{3}-127$$

Least common multiple of 10 and 3 is 30. Convert \frac{3}{10} and \frac{127}{3} to fractions with denominator 30.

$$\frac{9}{30}+\frac{1270}{30}-127$$

Since \frac{9}{30} and \frac{1270}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+1270}{30}-127$$

Add 9 and 1270 to get 1279.

$$\frac{1279}{30}-127$$

Convert 127 to fraction \frac{3810}{30}.

$$\frac{1279}{30}-\frac{3810}{30}$$

Since \frac{1279}{30} and \frac{3810}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1279-3810}{30}$$

Subtract 3810 from 1279 to get -2531.

$$-\frac{2531}{30}$$

Factor

$$-\frac{2531}{30} = -84\frac{11}{30} = -84.36666666666666$$