Solve 13/224/5/frac{5{11}}

$$\frac{ 1 \frac{ 3 }{ 22 } \frac{ 4 }{ 5 } }{ \frac{ 5 }{ 11 } }$$

Evaluate

$$2$$

Solution Steps

Multiply 1 and 22 to get 22.

$$\frac{\frac{22+3}{22}\times \frac{4}{5}}{\frac{5}{11}}$$

Add 22 and 3 to get 25.

$$\frac{\frac{25}{22}\times \frac{4}{5}}{\frac{5}{11}}$$

Multiply \frac{25}{22} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{25\times 4}{22\times 5}}{\frac{5}{11}}$$

Do the multiplications in the fraction \frac{25\times 4}{22\times 5}.

$$\frac{\frac{100}{110}}{\frac{5}{11}}$$

Reduce the fraction \frac{100}{110} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{10}{11}}{\frac{5}{11}}$$

Divide \frac{10}{11} by \frac{5}{11} by multiplying \frac{10}{11} by the reciprocal of \frac{5}{11}.

$$\frac{10}{11}\times \frac{11}{5}$$

Multiply \frac{10}{11} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 11}{11\times 5}$$

Cancel out 11 in both numerator and denominator.

$$\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$2$$

Factor

$$2$$