Solve 7/12-1/8quad1/6+1/4

$$\frac { 7 } { 12 } - \frac { 1 } { 8 } \quad \frac { 1 } { 6 } + \frac { 1 } { 4 }$$

Evaluate

$$\frac{13}{16}=0.8125$$

Solution Steps

Multiply \frac{1}{8} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{12}-\frac{1\times 1}{8\times 6}+\frac{1}{4}$$

Do the multiplications in the fraction \frac{1\times 1}{8\times 6}.

$$\frac{7}{12}-\frac{1}{48}+\frac{1}{4}$$

Least common multiple of 12 and 48 is 48. Convert \frac{7}{12} and \frac{1}{48} to fractions with denominator 48.

$$\frac{28}{48}-\frac{1}{48}+\frac{1}{4}$$

Since \frac{28}{48} and \frac{1}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-1}{48}+\frac{1}{4}$$

Subtract 1 from 28 to get 27.

$$\frac{27}{48}+\frac{1}{4}$$

Reduce the fraction \frac{27}{48} to lowest terms by extracting and canceling out 3.

$$\frac{9}{16}+\frac{1}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{9}{16} and \frac{1}{4} to fractions with denominator 16.

$$\frac{9}{16}+\frac{4}{16}$$

Since \frac{9}{16} and \frac{4}{16} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{16}$$

Add 9 and 4 to get 13.

$$\frac{13}{16}$$

Factor

$$\frac{13}{2 ^ {4}} = 0.8125$$