Solve (2/3+1/4)div4-5/12

$$( \frac{ 2 }{ 3 } + \frac{ 1 }{ 4 } ) \div 4- \frac{ 5 }{ 12 }$$

Evaluate

$$-\frac{3}{16}=-0.1875$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

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

Since \frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

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

Add 8 and 3 to get 11.

$$\frac{\frac{11}{12}}{4}-\frac{5}{12}$$

Express \frac{\frac{11}{12}}{4} as a single fraction.

$$\frac{11}{12\times 4}-\frac{5}{12}$$

Multiply 12 and 4 to get 48.

$$\frac{11}{48}-\frac{5}{12}$$

Least common multiple of 48 and 12 is 48. Convert \frac{11}{48} and \frac{5}{12} to fractions with denominator 48.

$$\frac{11}{48}-\frac{20}{48}$$

Since \frac{11}{48} and \frac{20}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-20}{48}$$

Subtract 20 from 11 to get -9.

$$\frac{-9}{48}$$

Reduce the fraction \frac{-9}{48} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{3}{16} = -0.1875$$