Solve 4/7*9+25/7

$$\frac{ 4 }{ 7 } \times 9+2 \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{55}{7}\approx 7.857142857$$

Solution Steps

Express \frac{4}{7}\times 9 as a single fraction.

$$\frac{4\times 9}{7}+\frac{2\times 7+5}{7}$$

Multiply 4 and 9 to get 36.

$$\frac{36}{7}+\frac{2\times 7+5}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{36}{7}+\frac{14+5}{7}$$

Add 14 and 5 to get 19.

$$\frac{36}{7}+\frac{19}{7}$$

Since \frac{36}{7} and \frac{19}{7} have the same denominator, add them by adding their numerators.

$$\frac{36+19}{7}$$

Add 36 and 19 to get 55.

$$\frac{55}{7}$$

Factor

$$\frac{5 \cdot 11}{7} = 7\frac{6}{7} = 7.857142857142857$$