Solve 211+11/5div4/25+40

$$211+ \frac{ 11 }{ 5 } \div \frac { 4 } { 25 } +40$$

Evaluate

$$\frac{1059}{4}=264.75$$

Solution Steps

Divide \frac{11}{5} by \frac{4}{25} by multiplying \frac{11}{5} by the reciprocal of \frac{4}{25}.

$$211+\frac{11}{5}\times \frac{25}{4}+40$$

Multiply \frac{11}{5} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.

$$211+\frac{11\times 25}{5\times 4}+40$$

Do the multiplications in the fraction \frac{11\times 25}{5\times 4}.

$$211+\frac{275}{20}+40$$

Reduce the fraction \frac{275}{20} to lowest terms by extracting and canceling out 5.

$$211+\frac{55}{4}+40$$

Convert 211 to fraction \frac{844}{4}.

$$\frac{844}{4}+\frac{55}{4}+40$$

Since \frac{844}{4} and \frac{55}{4} have the same denominator, add them by adding their numerators.

$$\frac{844+55}{4}+40$$

Add 844 and 55 to get 899.

$$\frac{899}{4}+40$$

Convert 40 to fraction \frac{160}{4}.

$$\frac{899}{4}+\frac{160}{4}$$

Since \frac{899}{4} and \frac{160}{4} have the same denominator, add them by adding their numerators.

$$\frac{899+160}{4}$$

Add 899 and 160 to get 1059.

$$\frac{1059}{4}$$

Factor

$$\frac{3 \cdot 353}{2 ^ {2}} = 264\frac{3}{4} = 264.75$$