﻿ Fractions and Decimals Worksheets - Page 4 | Problems & Solutions

# Fractions and Decimals Worksheets - Page 4

Fractions and Decimals Worksheets
• Page 4
31.
Order the fractions $\frac{1}{5}$, $\frac{1}{3}$, and $\frac{1}{6}$ from the least to the greatest.
 a. $\frac{1}{3}$ < $\frac{1}{5}$ < $\frac{1}{6}$ b. $\frac{1}{6}$ > $\frac{1}{5}$ > $\frac{1}{3}$ c. $\frac{1}{5}$ < $\frac{1}{6}$ < $\frac{1}{3}$ d. $\frac{1}{6}$ < $\frac{1}{5}$ < $\frac{1}{3}$

#### Solution:

The LCD of the fractions is 30.

1 / 5 = 6 / 30 , 1 / 3 = 10 / 30 , 1 / 6 = 5 / 30
[Write the equivalent fractions of the fractions using the LCD as denominator.]

5 / 30 < 6 / 30 < 10 / 30
[Compare the numerators to arrange the fractions in the increasing order.]

1 / 6 < 1 / 5 < 1 / 3

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