Solve 100*(54/5+5*2/5)div20=31

$$100 \times ( 5 \frac { 4 } { 5 } +5 \times \frac{ 2 }{ 5 } ) \div 20=31$$

Verify

Solution Steps

Multiply both sides of the equation by 20.

$$100\left(\frac{5\times 5+4}{5}+5\times \frac{2}{5}\right)=620$$

Multiply 5 and 5 to get 25.

$$100\left(\frac{25+4}{5}+5\times \frac{2}{5}\right)=620$$

Add 25 and 4 to get 29.

$$100\left(\frac{29}{5}+5\times \frac{2}{5}\right)=620$$

Cancel out 5 and 5.

$$100\left(\frac{29}{5}+2\right)=620$$

Convert 2 to fraction \frac{10}{5}.

$$100\left(\frac{29}{5}+\frac{10}{5}\right)=620$$

Since \frac{29}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$100\times \frac{29+10}{5}=620$$

Add 29 and 10 to get 39.

$$100\times \frac{39}{5}=620$$

Express 100\times \frac{39}{5} as a single fraction.

$$\frac{100\times 39}{5}=620$$

Multiply 100 and 39 to get 3900.

$$\frac{3900}{5}=620$$

Divide 3900 by 5 to get 780.

$$780=620$$

Compare 780 and 620.

$$\text{false}$$