Solve 30div6000<28.8div4000

$$30 \div 6000 < 28.8 \div 4000$$

Verify

Solution Steps

Reduce the fraction \frac{30}{6000} to lowest terms by extracting and canceling out 30.

$$\frac{1}{200}<\frac{28.8}{4000}$$

Expand \frac{28.8}{4000} by multiplying both numerator and the denominator by 10.

$$\frac{1}{200}<\frac{288}{40000}$$

Reduce the fraction \frac{288}{40000} to lowest terms by extracting and canceling out 32.

$$\frac{1}{200}<\frac{9}{1250}$$

Least common multiple of 200 and 1250 is 5000. Convert \frac{1}{200} and \frac{9}{1250} to fractions with denominator 5000.

$$\frac{25}{5000}<\frac{36}{5000}$$

Compare \frac{25}{5000} and \frac{36}{5000}.

$$\text{true}$$