Solve 36*2/7+36*15/7

$$36 \times \frac { 2 } { 7 } + 36 \times 1 \frac { 5 } { 7 }$$

Evaluate

$$72$$

Solution Steps

Express 36\times \frac{2}{7} as a single fraction.

$$\frac{36\times 2}{7}+36\times \frac{1\times 7+5}{7}$$

Multiply 36 and 2 to get 72.

$$\frac{72}{7}+36\times \frac{1\times 7+5}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{72}{7}+36\times \frac{7+5}{7}$$

Add 7 and 5 to get 12.

$$\frac{72}{7}+36\times \frac{12}{7}$$

Express 36\times \frac{12}{7} as a single fraction.

$$\frac{72}{7}+\frac{36\times 12}{7}$$

Multiply 36 and 12 to get 432.

$$\frac{72}{7}+\frac{432}{7}$$

Since \frac{72}{7} and \frac{432}{7} have the same denominator, add them by adding their numerators.

$$\frac{72+432}{7}$$

Add 72 and 432 to get 504.

$$\frac{504}{7}$$

Divide 504 by 7 to get 72.

$$72$$

Factor

$$2^{3}\times 3^{2}$$