Solve 11/5div4*5*5/6=

$$1 \frac { 1 } { 5 } \div 4 \times 5 \times \frac { 5 } { 6 } =$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Express \frac{\frac{1\times 5+1}{5}}{4} as a single fraction.

$$\frac{1\times 5+1}{5\times 4}\times 5\times \frac{5}{6}$$

Multiply 1 and 5 to get 5.

$$\frac{5+1}{5\times 4}\times 5\times \frac{5}{6}$$

Add 5 and 1 to get 6.

$$\frac{6}{5\times 4}\times 5\times \frac{5}{6}$$

Multiply 5 and 4 to get 20.

$$\frac{6}{20}\times 5\times \frac{5}{6}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}\times 5\times \frac{5}{6}$$

Express \frac{3}{10}\times 5 as a single fraction.

$$\frac{3\times 5}{10}\times \frac{5}{6}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{10}\times \frac{5}{6}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}\times \frac{5}{6}$$

Multiply \frac{3}{2} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{2\times 6}$$

Do the multiplications in the fraction \frac{3\times 5}{2\times 6}.

$$\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$