Solve 100div12/3*27/15

$$100 \div 1 \frac { 2 } { 3 } \times 2 \frac { 7 } { 15 }$$

Evaluate

$$148$$

Solution Steps

Divide 100 by \frac{1\times 3+2}{3} by multiplying 100 by the reciprocal of \frac{1\times 3+2}{3}.

$$\frac{100\times 3}{1\times 3+2}\times \frac{2\times 15+7}{15}$$

Multiply 100 and 3 to get 300.

$$\frac{300}{1\times 3+2}\times \frac{2\times 15+7}{15}$$

Multiply 1 and 3 to get 3.

$$\frac{300}{3+2}\times \frac{2\times 15+7}{15}$$

Add 3 and 2 to get 5.

$$\frac{300}{5}\times \frac{2\times 15+7}{15}$$

Divide 300 by 5 to get 60.

$$60\times \frac{2\times 15+7}{15}$$

Multiply 2 and 15 to get 30.

$$60\times \frac{30+7}{15}$$

Add 30 and 7 to get 37.

$$60\times \frac{37}{15}$$

Express 60\times \frac{37}{15} as a single fraction.

$$\frac{60\times 37}{15}$$

Multiply 60 and 37 to get 2220.

$$\frac{2220}{15}$$

Divide 2220 by 15 to get 148.

$$148$$

Factor

$$2^{2}\times 37$$