Solve 11/4+53/8=

$$1 \frac { 1 } { 4 } + 5 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{53}{8}=6.625$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+1}{4}+\frac{5\times 8+3}{8}$$

Add 4 and 1 to get 5.

$$\frac{5}{4}+\frac{5\times 8+3}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{5}{4}+\frac{40+3}{8}$$

Add 40 and 3 to get 43.

$$\frac{5}{4}+\frac{43}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{43}{8} to fractions with denominator 8.

$$\frac{10}{8}+\frac{43}{8}$$

Since \frac{10}{8} and \frac{43}{8} have the same denominator, add them by adding their numerators.

$$\frac{10+43}{8}$$

Add 10 and 43 to get 53.

$$\frac{53}{8}$$

Factor

$$\frac{53}{2 ^ {3}} = 6\frac{5}{8} = 6.625$$