# How do you order the rational numbers from least to greatest: 2 1/4, 1 7/8, 1.75, 2.4?

Nov 9, 2016

We first order them on the whole number part.

#### Explanation:

Then we get the fraction part in order on basis of common denominators
(A) $1 \frac{7}{8} \mathmr{and} 1 \frac{75}{100} = 1 \frac{3}{4} = 1 \frac{6}{8}$

(B) $2 \frac{1}{4} \mathmr{and} 2 \frac{4}{10} = 2 \frac{2}{5}$
Common denominators:
$2 + \frac{1}{4} \times \frac{5}{5} = 2 \frac{5}{20} \mathmr{and} 2 + \frac{4}{10} \times \frac{2}{2} = 2 \frac{8}{20}$

Now we can order them:
(1) $1 \frac{6}{8} = 1.75$
(2) $1 \frac{7}{8}$
(3) $2 \frac{5}{20} = 2 \frac{1}{4}$
(4) $2 \frac{8}{20} = 2.4$