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13. order these fractions from least to greatest: $\frac{1}{3}$, $\frac…

Question

  1. order these fractions from least to greatest: $\frac{1}{3}$, $\frac{7}{12}$, $\frac{3}{4}$

Explanation:

Step1: Find common denominator

The least common denominator of 3, 12, 4 is 12.

Step2: Convert fractions to same denominator

$\frac{2}{3} = \frac{2\times4}{3\times4} = \frac{8}{12}$
$\frac{7}{12}$ remains $\frac{7}{12}$
$\frac{3}{4} = \frac{3\times3}{4\times3} = \frac{9}{12}$

Step3: Compare numerators

$7 < 8 < 9$, so $\frac{7}{12} < \frac{8}{12} < \frac{9}{12}$

Answer:

$\frac{7}{12}, \frac{2}{3}, \frac{3}{4}$