Solve 108\div36\times1/4+2/5\times3.1/4

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Question

$$108 \div 36 \times 1/4+2/5 \times 3.1/4$$

Evaluate

$1.06$

Solution Steps

Divide $108$ by $36$ to get $3$.

$$\frac{3\times 1}{4}+\frac{\frac{2}{5}\times 3.1}{4}$$

Multiply $3$ and $1$ to get $3$.

$$\frac{3}{4}+\frac{\frac{2}{5}\times 3.1}{4}$$

Convert decimal number $3.1$ to fraction $\frac{31}{10}$.

$$\frac{3}{4}+\frac{\frac{2}{5}\times \frac{31}{10}}{4}$$

Multiply $\frac{2}{5}$ times $\frac{31}{10}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}+\frac{\frac{2\times 31}{5\times 10}}{4}$$

Do the multiplications in the fraction $\frac{2\times 31}{5\times 10}$.

$$\frac{3}{4}+\frac{\frac{62}{50}}{4}$$

Reduce the fraction $\frac{62}{50}$ to lowest terms by extracting and canceling out $2$.

$$\frac{3}{4}+\frac{\frac{31}{25}}{4}$$

Express $\frac{\frac{31}{25}}{4}$ as a single fraction.

$$\frac{3}{4}+\frac{31}{25\times 4}$$

Multiply $25$ and $4$ to get $100$.

$$\frac{3}{4}+\frac{31}{100}$$

Least common multiple of $4$ and $100$ is $100$. Convert $\frac{3}{4}$ and $\frac{31}{100}$ to fractions with denominator $100$.

$$\frac{75}{100}+\frac{31}{100}$$

Since $\frac{75}{100}$ and $\frac{31}{100}$ have the same denominator, add them by adding their numerators.

$$\frac{75+31}{100}$$

Add $75$ and $31$ to get $106$.

$$\frac{106}{100}$$

Reduce the fraction $\frac{106}{100}$ to lowest terms by extracting and canceling out $2$.

$$\frac{53}{50}$$

Show Solution

Factor

$\frac{53}{2 \cdot 5 ^ {2}} = 1\frac{3}{50} = 1.06$