Solve 7.4/40*1000/500=

$$\frac{ 7.4 }{ 40 } \times \frac{ 1000 }{ 500 } =$$

Evaluate

$$0.37$$

Solution Steps

Expand \frac{7.4}{40} by multiplying both numerator and the denominator by 10.

$$\frac{74}{400}\times \frac{1000}{500}$$

Reduce the fraction \frac{74}{400} to lowest terms by extracting and canceling out 2.

$$\frac{37}{200}\times \frac{1000}{500}$$

Divide 1000 by 500 to get 2.

$$\frac{37}{200}\times 2$$

Express \frac{37}{200}\times 2 as a single fraction.

$$\frac{37\times 2}{200}$$

Multiply 37 and 2 to get 74.

$$\frac{74}{200}$$

Reduce the fraction \frac{74}{200} to lowest terms by extracting and canceling out 2.

$$\frac{37}{100}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 5 ^ {2}} = 0.37$$