Solve 7/8*2/12+11/12

$$\frac{ 7 }{ 8 } \times \frac{ 2 }{ 12 } + \frac{ 11 }{ 12 }$$

Evaluate

$$\frac{17}{16}=1.0625$$

Solution Steps

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{7}{8}\times \frac{1}{6}+\frac{11}{12}$$

Multiply \frac{7}{8} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{8\times 6}+\frac{11}{12}$$

Do the multiplications in the fraction \frac{7\times 1}{8\times 6}.

$$\frac{7}{48}+\frac{11}{12}$$

Least common multiple of 48 and 12 is 48. Convert \frac{7}{48} and \frac{11}{12} to fractions with denominator 48.

$$\frac{7}{48}+\frac{44}{48}$$

Since \frac{7}{48} and \frac{44}{48} have the same denominator, add them by adding their numerators.

$$\frac{7+44}{48}$$

Add 7 and 44 to get 51.

$$\frac{51}{48}$$

Reduce the fraction \frac{51}{48} to lowest terms by extracting and canceling out 3.

$$\frac{17}{16}$$

Factor

$$\frac{17}{2 ^ {4}} = 1\frac{1}{16} = 1.0625$$