Solve 21/4kg:571/2

$$2 \frac { 1 } { 4 } kg : 57 \frac { 1 } { 2 }$$

Evaluate

$$\frac{9gk}{230}$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{\frac{8+1}{4}kg}{\frac{57\times 2+1}{2}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{4}kg}{\frac{57\times 2+1}{2}}$$

Multiply 57 and 2 to get 114.

$$\frac{\frac{9}{4}kg}{\frac{114+1}{2}}$$

Add 114 and 1 to get 115.

$$\frac{\frac{9}{4}kg}{\frac{115}{2}}$$

Divide \frac{9}{4}kg by \frac{115}{2} by multiplying \frac{9}{4}kg by the reciprocal of \frac{115}{2}.

$$\frac{\frac{9}{4}kg\times 2}{115}$$

Express \frac{9}{4}\times 2 as a single fraction.

$$\frac{\frac{9\times 2}{4}kg}{115}$$

Multiply 9 and 2 to get 18.

$$\frac{\frac{18}{4}kg}{115}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{9}{2}kg}{115}$$

Divide \frac{9}{2}kg by 115 to get \frac{9}{230}kg.

$$\frac{9}{230}kg$$

Expand

$$\frac{9gk}{230}$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{\frac{8+1}{4}kg}{\frac{57\times 2+1}{2}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{4}kg}{\frac{57\times 2+1}{2}}$$

Multiply 57 and 2 to get 114.

$$\frac{\frac{9}{4}kg}{\frac{114+1}{2}}$$

Add 114 and 1 to get 115.

$$\frac{\frac{9}{4}kg}{\frac{115}{2}}$$

Divide \frac{9}{4}kg by \frac{115}{2} by multiplying \frac{9}{4}kg by the reciprocal of \frac{115}{2}.

$$\frac{\frac{9}{4}kg\times 2}{115}$$

Express \frac{9}{4}\times 2 as a single fraction.

$$\frac{\frac{9\times 2}{4}kg}{115}$$

Multiply 9 and 2 to get 18.

$$\frac{\frac{18}{4}kg}{115}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{9}{2}kg}{115}$$

Divide \frac{9}{2}kg by 115 to get \frac{9}{230}kg.

$$\frac{9}{230}kg$$