Solve (6)-(-1.25)-(+57/12)=

$$( 6 ) - ( - 1.25 ) - ( + 5 \frac { 7 } { 12 } ) =$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

The opposite of -1.25 is 1.25.

$$6+1.25-\frac{5\times 12+7}{12}$$

Add 6 and 1.25 to get 7.25.

$$7.25-\frac{5\times 12+7}{12}$$

Multiply 5 and 12 to get 60.

$$7.25-\frac{60+7}{12}$$

Add 60 and 7 to get 67.

$$7.25-\frac{67}{12}$$

Convert decimal number 7.25 to fraction \frac{725}{100}. Reduce the fraction \frac{725}{100} to lowest terms by extracting and canceling out 25.

$$\frac{29}{4}-\frac{67}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{29}{4} and \frac{67}{12} to fractions with denominator 12.

$$\frac{87}{12}-\frac{67}{12}$$

Since \frac{87}{12} and \frac{67}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{87-67}{12}$$

Subtract 67 from 87 to get 20.

$$\frac{20}{12}$$

Reduce the fraction \frac{20}{12} to lowest terms by extracting and canceling out 4.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$