Solve 3/8<4/8<7/8

$$\frac { 3 } { 8 } < \frac { 4 } { 8 } < \frac { 7 } { 8 }$$

Verify

Solution Steps

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{3}{8}<\frac{1}{2}\text{ and }\frac{4}{8}<\frac{7}{8}$$

Least common multiple of 8 and 2 is 8. Convert \frac{3}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{3}{8}<\frac{4}{8}\text{ and }\frac{4}{8}<\frac{7}{8}$$

Compare \frac{3}{8} and \frac{4}{8}.

$$\text{true}\text{ and }\frac{4}{8}<\frac{7}{8}$$

Compare \frac{4}{8} and \frac{7}{8}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$