Solve 82/5+75/7=

$$8 \frac { 2 } { 5 } + 7 \frac { 5 } { 7 } =$$

Evaluate

$$\frac{564}{35}\approx 16.114285714$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+2}{5}+\frac{7\times 7+5}{7}$$

Add 40 and 2 to get 42.

$$\frac{42}{5}+\frac{7\times 7+5}{7}$$

Multiply 7 and 7 to get 49.

$$\frac{42}{5}+\frac{49+5}{7}$$

Add 49 and 5 to get 54.

$$\frac{42}{5}+\frac{54}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{42}{5} and \frac{54}{7} to fractions with denominator 35.

$$\frac{294}{35}+\frac{270}{35}$$

Since \frac{294}{35} and \frac{270}{35} have the same denominator, add them by adding their numerators.

$$\frac{294+270}{35}$$

Add 294 and 270 to get 564.

$$\frac{564}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 47}{5 \cdot 7} = 16\frac{4}{35} = 16.114285714285714$$