Solve 8.15+102/12-6.15-2/3

$$8.15 + 10 \frac { 2 } { 12 } - 6.15 - \frac { 2 } { 3 }$$

Evaluate

$$11.5$$

Solution Steps

Multiply 10 and 12 to get 120.

$$8.15+\frac{120+2}{12}-6.15-\frac{2}{3}$$

Add 120 and 2 to get 122.

$$8.15+\frac{122}{12}-6.15-\frac{2}{3}$$

Reduce the fraction \frac{122}{12} to lowest terms by extracting and canceling out 2.

$$8.15+\frac{61}{6}-6.15-\frac{2}{3}$$

Convert decimal number 8.15 to fraction \frac{815}{100}. Reduce the fraction \frac{815}{100} to lowest terms by extracting and canceling out 5.

$$\frac{163}{20}+\frac{61}{6}-6.15-\frac{2}{3}$$

Least common multiple of 20 and 6 is 60. Convert \frac{163}{20} and \frac{61}{6} to fractions with denominator 60.

$$\frac{489}{60}+\frac{610}{60}-6.15-\frac{2}{3}$$

Since \frac{489}{60} and \frac{610}{60} have the same denominator, add them by adding their numerators.

$$\frac{489+610}{60}-6.15-\frac{2}{3}$$

Add 489 and 610 to get 1099.

$$\frac{1099}{60}-6.15-\frac{2}{3}$$

Convert decimal number 6.15 to fraction \frac{615}{100}. Reduce the fraction \frac{615}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1099}{60}-\frac{123}{20}-\frac{2}{3}$$

Least common multiple of 60 and 20 is 60. Convert \frac{1099}{60} and \frac{123}{20} to fractions with denominator 60.

$$\frac{1099}{60}-\frac{369}{60}-\frac{2}{3}$$

Since \frac{1099}{60} and \frac{369}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1099-369}{60}-\frac{2}{3}$$

Subtract 369 from 1099 to get 730.

$$\frac{730}{60}-\frac{2}{3}$$

Reduce the fraction \frac{730}{60} to lowest terms by extracting and canceling out 10.

$$\frac{73}{6}-\frac{2}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{73}{6} and \frac{2}{3} to fractions with denominator 6.

$$\frac{73}{6}-\frac{4}{6}$$

Since \frac{73}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{73-4}{6}$$

Subtract 4 from 73 to get 69.

$$\frac{69}{6}$$

Reduce the fraction \frac{69}{6} to lowest terms by extracting and canceling out 3.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$