Solve 5/12-1+5/4=2/3

$$\frac { 5 } { 12 } - 1 + \frac { 5 } { 4 } = \frac { 2 } { 3 }$$

Verify

Solution Steps

Convert 1 to fraction \frac{12}{12}.

$$\frac{5}{12}-\frac{12}{12}+\frac{5}{4}=\frac{2}{3}$$

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

$$\frac{5-12}{12}+\frac{5}{4}=\frac{2}{3}$$

Subtract 12 from 5 to get -7.

$$-\frac{7}{12}+\frac{5}{4}=\frac{2}{3}$$

Least common multiple of 12 and 4 is 12. Convert -\frac{7}{12} and \frac{5}{4} to fractions with denominator 12.

$$-\frac{7}{12}+\frac{15}{12}=\frac{2}{3}$$

Since -\frac{7}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{-7+15}{12}=\frac{2}{3}$$

Add -7 and 15 to get 8.

$$\frac{8}{12}=\frac{2}{3}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}=\frac{2}{3}$$

Compare \frac{2}{3} and \frac{2}{3}.

$$\text{true}$$