Solve 7/15div18/55div15/6

$$\frac { 7 } { 15 } \div 1 \frac { 8 } { 55 } \div 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Divide \frac{\frac{7}{15}}{\frac{1\times 55+8}{55}} by \frac{1\times 6+5}{6} by multiplying \frac{\frac{7}{15}}{\frac{1\times 55+8}{55}} by the reciprocal of \frac{1\times 6+5}{6}.

$$\frac{\frac{7}{15}\times 6}{\frac{1\times 55+8}{55}\left(1\times 6+5\right)}$$

Express \frac{7}{15}\times 6 as a single fraction.

$$\frac{\frac{7\times 6}{15}}{\frac{1\times 55+8}{55}\left(1\times 6+5\right)}$$

Multiply 7 and 6 to get 42.

$$\frac{\frac{42}{15}}{\frac{1\times 55+8}{55}\left(1\times 6+5\right)}$$

Reduce the fraction \frac{42}{15} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{14}{5}}{\frac{1\times 55+8}{55}\left(1\times 6+5\right)}$$

Multiply 1 and 55 to get 55.

$$\frac{\frac{14}{5}}{\frac{55+8}{55}\left(1\times 6+5\right)}$$

Add 55 and 8 to get 63.

$$\frac{\frac{14}{5}}{\frac{63}{55}\left(1\times 6+5\right)}$$

Multiply 1 and 6 to get 6.

$$\frac{\frac{14}{5}}{\frac{63}{55}\left(6+5\right)}$$

Add 6 and 5 to get 11.

$$\frac{\frac{14}{5}}{\frac{63}{55}\times 11}$$

Express \frac{63}{55}\times 11 as a single fraction.

$$\frac{\frac{14}{5}}{\frac{63\times 11}{55}}$$

Multiply 63 and 11 to get 693.

$$\frac{\frac{14}{5}}{\frac{693}{55}}$$

Reduce the fraction \frac{693}{55} to lowest terms by extracting and canceling out 11.

$$\frac{\frac{14}{5}}{\frac{63}{5}}$$

Divide \frac{14}{5} by \frac{63}{5} by multiplying \frac{14}{5} by the reciprocal of \frac{63}{5}.

$$\frac{14}{5}\times \frac{5}{63}$$

Multiply \frac{14}{5} times \frac{5}{63} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 5}{5\times 63}$$

Cancel out 5 in both numerator and denominator.

$$\frac{14}{63}$$

Reduce the fraction \frac{14}{63} to lowest terms by extracting and canceling out 7.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$