Solve 3/2*3/7/frac{1{2}+1/14}

$$\frac{ \frac{ 3 }{ 2 } \times \frac{ 3 }{ 7 } }{ \frac{ 1 }{ 2 } + \frac{ 1 }{ 14 } }$$

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

Multiply \frac{3}{2} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 3}{2\times 7}}{\frac{1}{2}+\frac{1}{14}}$$

Do the multiplications in the fraction \frac{3\times 3}{2\times 7}.

$$\frac{\frac{9}{14}}{\frac{1}{2}+\frac{1}{14}}$$

Least common multiple of 2 and 14 is 14. Convert \frac{1}{2} and \frac{1}{14} to fractions with denominator 14.

$$\frac{\frac{9}{14}}{\frac{7}{14}+\frac{1}{14}}$$

Since \frac{7}{14} and \frac{1}{14} have the same denominator, add them by adding their numerators.

$$\frac{\frac{9}{14}}{\frac{7+1}{14}}$$

Add 7 and 1 to get 8.

$$\frac{\frac{9}{14}}{\frac{8}{14}}$$

Reduce the fraction \frac{8}{14} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{9}{14}}{\frac{4}{7}}$$

Divide \frac{9}{14} by \frac{4}{7} by multiplying \frac{9}{14} by the reciprocal of \frac{4}{7}.

$$\frac{9}{14}\times \frac{7}{4}$$

Multiply \frac{9}{14} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 7}{14\times 4}$$

Do the multiplications in the fraction \frac{9\times 7}{14\times 4}.

$$\frac{63}{56}$$

Reduce the fraction \frac{63}{56} to lowest terms by extracting and canceling out 7.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$