Solve 43/8+33/10=

$$4 \frac { 3 } { 8 } + 3 \frac { 3 } { 10 } =$$

Evaluate

$$\frac{307}{40}=7.675$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+3}{8}+\frac{3\times 10+3}{10}$$

Add 32 and 3 to get 35.

$$\frac{35}{8}+\frac{3\times 10+3}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{35}{8}+\frac{30+3}{10}$$

Add 30 and 3 to get 33.

$$\frac{35}{8}+\frac{33}{10}$$

Least common multiple of 8 and 10 is 40. Convert \frac{35}{8} and \frac{33}{10} to fractions with denominator 40.

$$\frac{175}{40}+\frac{132}{40}$$

Since \frac{175}{40} and \frac{132}{40} have the same denominator, add them by adding their numerators.

$$\frac{175+132}{40}$$

Add 175 and 132 to get 307.

$$\frac{307}{40}$$

Factor

$$\frac{307}{2 ^ {3} \cdot 5} = 7\frac{27}{40} = 7.675$$