Solve 41/2div24/7

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

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

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

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

Multiply 4 and 2 to get 8.

$$\frac{\left(8+1\right)\times 7}{2\left(2\times 7+4\right)}$$

Add 8 and 1 to get 9.

$$\frac{9\times 7}{2\left(2\times 7+4\right)}$$

Multiply 9 and 7 to get 63.

$$\frac{63}{2\left(2\times 7+4\right)}$$

Multiply 2 and 7 to get 14.

$$\frac{63}{2\left(14+4\right)}$$

Add 14 and 4 to get 18.

$$\frac{63}{2\times 18}$$

Multiply 2 and 18 to get 36.

$$\frac{63}{36}$$

Reduce the fraction \frac{63}{36} to lowest terms by extracting and canceling out 9.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$