Solve 11/8+36/10=

$$1 \frac { 1 } { 8 } + 3 \frac { 6 } { 10 } =$$

Evaluate

$$\frac{189}{40}=4.725$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+1}{8}+\frac{3\times 10+6}{10}$$

Add 8 and 1 to get 9.

$$\frac{9}{8}+\frac{3\times 10+6}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{9}{8}+\frac{30+6}{10}$$

Add 30 and 6 to get 36.

$$\frac{9}{8}+\frac{36}{10}$$

Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{8}+\frac{18}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{9}{8} and \frac{18}{5} to fractions with denominator 40.

$$\frac{45}{40}+\frac{144}{40}$$

Since \frac{45}{40} and \frac{144}{40} have the same denominator, add them by adding their numerators.

$$\frac{45+144}{40}$$

Add 45 and 144 to get 189.

$$\frac{189}{40}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2 ^ {3} \cdot 5} = 4\frac{29}{40} = 4.725$$