Solve 6/7div43/4

$$\frac { 6 } { 7 } \div 4 \frac { 3 } { 4 }$$

Evaluate

$$\frac{24}{133}\approx 0.180451128$$

Solution Steps

Divide \frac{6}{7} by \frac{4\times 4+3}{4} by multiplying \frac{6}{7} by the reciprocal of \frac{4\times 4+3}{4}.

$$\frac{6\times 4}{7\left(4\times 4+3\right)}$$

Multiply 6 and 4 to get 24.

$$\frac{24}{7\left(4\times 4+3\right)}$$

Multiply 4 and 4 to get 16.

$$\frac{24}{7\left(16+3\right)}$$

Add 16 and 3 to get 19.

$$\frac{24}{7\times 19}$$

Multiply 7 and 19 to get 133.

$$\frac{24}{133}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{7 \cdot 19} = 0.18045112781954886$$