Solve 31/10*3/10+7/5+20=?

$$\frac { 31 } { 10 } \times \frac { 3 } { 10 } + \frac { 7 } { 5 } + 20 = ?$$

Evaluate

$$\frac{2233}{100}=22.33$$

Solution Steps

Multiply \frac{31}{10} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 3}{10\times 10}+\frac{7}{5}+20$$

Do the multiplications in the fraction \frac{31\times 3}{10\times 10}.

$$\frac{93}{100}+\frac{7}{5}+20$$

Least common multiple of 100 and 5 is 100. Convert \frac{93}{100} and \frac{7}{5} to fractions with denominator 100.

$$\frac{93}{100}+\frac{140}{100}+20$$

Since \frac{93}{100} and \frac{140}{100} have the same denominator, add them by adding their numerators.

$$\frac{93+140}{100}+20$$

Add 93 and 140 to get 233.

$$\frac{233}{100}+20$$

Convert 20 to fraction \frac{2000}{100}.

$$\frac{233}{100}+\frac{2000}{100}$$

Since \frac{233}{100} and \frac{2000}{100} have the same denominator, add them by adding their numerators.

$$\frac{233+2000}{100}$$

Add 233 and 2000 to get 2233.

$$\frac{2233}{100}$$

Factor

$$\frac{7 \cdot 11 \cdot 29}{2 ^ {2} \cdot 5 ^ {2}} = 22\frac{33}{100} = 22.33$$