Solve 12+13/4-85/12-6.75

$$12 + 1 \frac { 3 } { 4 } - 8 \frac { 5 } { 12 } - 6.75$$

Evaluate

$$-\frac{17}{12}\approx -1.416666667$$

Solution Steps

Multiply 1 and 4 to get 4.

$$12+\frac{4+3}{4}-\frac{8\times 12+5}{12}-6.75$$

Add 4 and 3 to get 7.

$$12+\frac{7}{4}-\frac{8\times 12+5}{12}-6.75$$

Convert 12 to fraction \frac{48}{4}.

$$\frac{48}{4}+\frac{7}{4}-\frac{8\times 12+5}{12}-6.75$$

Since \frac{48}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.

$$\frac{48+7}{4}-\frac{8\times 12+5}{12}-6.75$$

Add 48 and 7 to get 55.

$$\frac{55}{4}-\frac{8\times 12+5}{12}-6.75$$

Multiply 8 and 12 to get 96.

$$\frac{55}{4}-\frac{96+5}{12}-6.75$$

Add 96 and 5 to get 101.

$$\frac{55}{4}-\frac{101}{12}-6.75$$

Least common multiple of 4 and 12 is 12. Convert \frac{55}{4} and \frac{101}{12} to fractions with denominator 12.

$$\frac{165}{12}-\frac{101}{12}-6.75$$

Since \frac{165}{12} and \frac{101}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{165-101}{12}-6.75$$

Subtract 101 from 165 to get 64.

$$\frac{64}{12}-6.75$$

Reduce the fraction \frac{64}{12} to lowest terms by extracting and canceling out 4.

$$\frac{16}{3}-6.75$$

Convert decimal number 6.75 to fraction \frac{675}{100}. Reduce the fraction \frac{675}{100} to lowest terms by extracting and canceling out 25.

$$\frac{16}{3}-\frac{27}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{16}{3} and \frac{27}{4} to fractions with denominator 12.

$$\frac{64}{12}-\frac{81}{12}$$

Since \frac{64}{12} and \frac{81}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64-81}{12}$$

Subtract 81 from 64 to get -17.

$$-\frac{17}{12}$$

Factor

$$-\frac{17}{12} = -1\frac{5}{12} = -1.4166666666666667$$