Solve 2.11+11/5div4/25+40

$$2.11+ \frac{ 11 }{ 5 } \div \frac { 4 } { 25 } +40$$

Evaluate

$$55.86$$

Solution Steps

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

$$2.11+\frac{11}{5}\times \frac{25}{4}+40$$

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

$$2.11+\frac{11\times 25}{5\times 4}+40$$

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

$$2.11+\frac{275}{20}+40$$

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

$$2.11+\frac{55}{4}+40$$

Convert decimal number 2.11 to fraction \frac{211}{100}.

$$\frac{211}{100}+\frac{55}{4}+40$$

Least common multiple of 100 and 4 is 100. Convert \frac{211}{100} and \frac{55}{4} to fractions with denominator 100.

$$\frac{211}{100}+\frac{1375}{100}+40$$

Since \frac{211}{100} and \frac{1375}{100} have the same denominator, add them by adding their numerators.

$$\frac{211+1375}{100}+40$$

Add 211 and 1375 to get 1586.

$$\frac{1586}{100}+40$$

Reduce the fraction \frac{1586}{100} to lowest terms by extracting and canceling out 2.

$$\frac{793}{50}+40$$

Convert 40 to fraction \frac{2000}{50}.

$$\frac{793}{50}+\frac{2000}{50}$$

Since \frac{793}{50} and \frac{2000}{50} have the same denominator, add them by adding their numerators.

$$\frac{793+2000}{50}$$

Add 793 and 2000 to get 2793.

$$\frac{2793}{50}$$

Factor

$$\frac{3 \cdot 19 \cdot 7 ^ {2}}{2 \cdot 5 ^ {2}} = 55\frac{43}{50} = 55.86$$