Solve 100div1.2*3div5/6*4/15

$$100 \div 1.2 \times 3 \div \frac { 5 } { 6 } \times \frac { 4 } { 15 }$$

Evaluate

$$80$$

Solution Steps

Expand \frac{100}{1.2} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{1000}{12}\times 3}{\frac{5}{6}}\times \frac{4}{15}$$

Reduce the fraction \frac{1000}{12} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{250}{3}\times 3}{\frac{5}{6}}\times \frac{4}{15}$$

Cancel out 3 and 3.

$$\frac{250}{\frac{5}{6}}\times \frac{4}{15}$$

Divide 250 by \frac{5}{6} by multiplying 250 by the reciprocal of \frac{5}{6}.

$$250\times \frac{6}{5}\times \frac{4}{15}$$

Express 250\times \frac{6}{5} as a single fraction.

$$\frac{250\times 6}{5}\times \frac{4}{15}$$

Multiply 250 and 6 to get 1500.

$$\frac{1500}{5}\times \frac{4}{15}$$

Divide 1500 by 5 to get 300.

$$300\times \frac{4}{15}$$

Express 300\times \frac{4}{15} as a single fraction.

$$\frac{300\times 4}{15}$$

Multiply 300 and 4 to get 1200.

$$\frac{1200}{15}$$

Divide 1200 by 15 to get 80.

$$80$$

Factor

$$5\times 2^{4}$$