Solve 5/12-43/4=

$$\frac { 5 } { 12 } - 4 \frac { 3 } { 4 } =$$

Evaluate

$$-\frac{13}{3}\approx -4.333333333$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{5}{12}-\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{5}{12}-\frac{19}{4}$$

Least common multiple of 12 and 4 is 12. Convert \frac{5}{12} and \frac{19}{4} to fractions with denominator 12.

$$\frac{5}{12}-\frac{57}{12}$$

Since \frac{5}{12} and \frac{57}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-57}{12}$$

Subtract 57 from 5 to get -52.

$$\frac{-52}{12}$$

Reduce the fraction \frac{-52}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{13}{3}$$

Factor

$$-\frac{13}{3} = -4\frac{1}{3} = -4.333333333333333$$