Solve 2*3/5*4/7:3/4=

$$2 \cdot \frac { 3 } { 5 } \cdot \frac { 4 } { 7 } : \frac { 3 } { 4 } =$$

Evaluate

$$\frac{32}{35}\approx 0.914285714$$

Solution Steps

Express 2\times \frac{3}{5} as a single fraction.

$$\frac{\frac{2\times 3}{5}\times \frac{4}{7}}{\frac{3}{4}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6}{5}\times \frac{4}{7}}{\frac{3}{4}}$$

Multiply \frac{6}{5} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{6\times 4}{5\times 7}}{\frac{3}{4}}$$

Do the multiplications in the fraction \frac{6\times 4}{5\times 7}.

$$\frac{\frac{24}{35}}{\frac{3}{4}}$$

Divide \frac{24}{35} by \frac{3}{4} by multiplying \frac{24}{35} by the reciprocal of \frac{3}{4}.

$$\frac{24}{35}\times \frac{4}{3}$$

Multiply \frac{24}{35} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 4}{35\times 3}$$

Do the multiplications in the fraction \frac{24\times 4}{35\times 3}.

$$\frac{96}{105}$$

Reduce the fraction \frac{96}{105} to lowest terms by extracting and canceling out 3.

$$\frac{32}{35}$$

Factor

$$\frac{2 ^ {5}}{5 \cdot 7} = 0.9142857142857143$$