Solve 32/7div11/4

$$3 \frac { 2 } { 7 } \div 1 \frac { 1 } { 4 }$$

Evaluate

$$\frac{92}{35}\approx 2.628571429$$

Solution Steps

Divide \frac{3\times 7+2}{7} by \frac{1\times 4+1}{4} by multiplying \frac{3\times 7+2}{7} by the reciprocal of \frac{1\times 4+1}{4}.

$$\frac{\left(3\times 7+2\right)\times 4}{7\left(1\times 4+1\right)}$$

Multiply 3 and 7 to get 21.

$$\frac{\left(21+2\right)\times 4}{7\left(1\times 4+1\right)}$$

Add 21 and 2 to get 23.

$$\frac{23\times 4}{7\left(1\times 4+1\right)}$$

Multiply 23 and 4 to get 92.

$$\frac{92}{7\left(1\times 4+1\right)}$$

Multiply 1 and 4 to get 4.

$$\frac{92}{7\left(4+1\right)}$$

Add 4 and 1 to get 5.

$$\frac{92}{7\times 5}$$

Multiply 7 and 5 to get 35.

$$\frac{92}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 23}{5 \cdot 7} = 2\frac{22}{35} = 2.6285714285714286$$