Solve 3/10div1.4div3/4=

$$\frac { 3 } { 10 } \div 1.4 \div \frac { 3 } { 4 } =$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Divide \frac{\frac{3}{10}}{1.4} by \frac{3}{4} by multiplying \frac{\frac{3}{10}}{1.4} by the reciprocal of \frac{3}{4}.

$$\frac{\frac{3}{10}\times 4}{1.4\times 3}$$

Express \frac{3}{10}\times 4 as a single fraction.

$$\frac{\frac{3\times 4}{10}}{1.4\times 3}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{12}{10}}{1.4\times 3}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{6}{5}}{1.4\times 3}$$

Multiply 1.4 and 3 to get 4.2.

$$\frac{\frac{6}{5}}{4.2}$$

Express \frac{\frac{6}{5}}{4.2} as a single fraction.

$$\frac{6}{5\times 4.2}$$

Multiply 5 and 4.2 to get 21.

$$\frac{6}{21}$$

Reduce the fraction \frac{6}{21} to lowest terms by extracting and canceling out 3.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$