Solve 3/1035/36/frac{14{15}}

$$\frac{ \frac{ 3 }{ 10 } \frac{ 35 }{ 36 } }{ \frac{ 14 }{ 15 } }$$

Evaluate

$$\frac{5}{16}=0.3125$$

Solution Steps

Multiply \frac{3}{10} times \frac{35}{36} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 35}{10\times 36}}{\frac{14}{15}}$$

Do the multiplications in the fraction \frac{3\times 35}{10\times 36}.

$$\frac{\frac{105}{360}}{\frac{14}{15}}$$

Reduce the fraction \frac{105}{360} to lowest terms by extracting and canceling out 15.

$$\frac{\frac{7}{24}}{\frac{14}{15}}$$

Divide \frac{7}{24} by \frac{14}{15} by multiplying \frac{7}{24} by the reciprocal of \frac{14}{15}.

$$\frac{7}{24}\times \frac{15}{14}$$

Multiply \frac{7}{24} times \frac{15}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 15}{24\times 14}$$

Do the multiplications in the fraction \frac{7\times 15}{24\times 14}.

$$\frac{105}{336}$$

Reduce the fraction \frac{105}{336} to lowest terms by extracting and canceling out 21.

$$\frac{5}{16}$$

Factor

$$\frac{5}{2 ^ {4}} = 0.3125$$