Solve 3/10div2/5*9/44div15/27

$$\frac { 3 } { 10 } \div \frac { 2 } { 5 } \times \frac { 9 } { 44 } \div \frac { 15 } { 27 }$$

Evaluate

$$\frac{243}{880}\approx 0.276136364$$

Solution Steps

Divide \frac{3}{10} by \frac{2}{5} by multiplying \frac{3}{10} by the reciprocal of \frac{2}{5}.

$$\frac{\frac{3}{10}\times \frac{5}{2}\times \frac{9}{44}}{\frac{15}{27}}$$

Multiply \frac{3}{10} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 5}{10\times 2}\times \frac{9}{44}}{\frac{15}{27}}$$

Do the multiplications in the fraction \frac{3\times 5}{10\times 2}.

$$\frac{\frac{15}{20}\times \frac{9}{44}}{\frac{15}{27}}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{3}{4}\times \frac{9}{44}}{\frac{15}{27}}$$

Multiply \frac{3}{4} times \frac{9}{44} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 9}{4\times 44}}{\frac{15}{27}}$$

Do the multiplications in the fraction \frac{3\times 9}{4\times 44}.

$$\frac{\frac{27}{176}}{\frac{15}{27}}$$

Reduce the fraction \frac{15}{27} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{27}{176}}{\frac{5}{9}}$$

Divide \frac{27}{176} by \frac{5}{9} by multiplying \frac{27}{176} by the reciprocal of \frac{5}{9}.

$$\frac{27}{176}\times \frac{9}{5}$$

Multiply \frac{27}{176} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 9}{176\times 5}$$

Do the multiplications in the fraction \frac{27\times 9}{176\times 5}.

$$\frac{243}{880}$$

Factor

$$\frac{3 ^ {5}}{2 ^ {4} \cdot 5 \cdot 11} = 0.2761363636363636$$