Solve 25div50*11/2*21/5

$$25 \div 50 \times 1 \frac { 1 } { 2 } \times 2 \frac { 1 } { 5 }$$

Evaluate

$$\frac{33}{20}=1.65$$

Solution Steps

Reduce the fraction \frac{25}{50} to lowest terms by extracting and canceling out 25.

$$\frac{1}{2}\times \frac{1\times 2+1}{2}\times \frac{2\times 5+1}{5}$$

Multiply 1 and 2 to get 2.

$$\frac{1}{2}\times \frac{2+1}{2}\times \frac{2\times 5+1}{5}$$

Add 2 and 1 to get 3.

$$\frac{1}{2}\times \frac{3}{2}\times \frac{2\times 5+1}{5}$$

Multiply \frac{1}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{2\times 2}\times \frac{2\times 5+1}{5}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 2}.

$$\frac{3}{4}\times \frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{3}{4}\times \frac{10+1}{5}$$

Add 10 and 1 to get 11.

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

Multiply \frac{3}{4} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 11}{4\times 5}.

$$\frac{33}{20}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2} \cdot 5} = 1\frac{13}{20} = 1.65$$