Question

Arrange the fractions 2/3, 1/6, 5/9, and 7/12 in ascending order.

Answer 1

Hey, here is your answer

The LCM of 3,6,9,12 is 36.

2/3=2×12/3×12=24/36

1/6=1×6/6×6=6/36

5/9=5×4/9×4=20/36

7/12=7×3/12×3=21/36

So, Ascending order = 6/36<20/36<21/36<24/36

=1/6<5/9<7/12<2/3

HOPE IT HELPS YOU

Answer 2

$\frac{6}{36} < \frac{20}{36} < \frac{21}{36} < \frac{24}{36}\\\\\frac{1}{6}<\frac{5}{9}< \frac{7}{12}< \frac{2}{3}$

Step-by-step explanation:

LCM of denominators = LCM of 3,6,9,12 is 36

$\frac{2}{3} \times \frac{12}{12}=\frac{24}[36}\\\\\frac{1}{6} \times \frac{6}{6}=\frac{6}{36}\\\\\frac{5}{9} \times \frac{4}{4}=\frac{20}{36}\\\\\frac{7}{12} \times \frac{3}{3}=\frac{21}{36}$

Arrange them in ascending order

$\frac{6}{36} < \frac{20}{36} < \frac{21}{36} < \frac{24}{36}\\\\\frac{1}{6}<\frac{5}{9}< \frac{7}{12}< \frac{2}{3}$

#Learn more:

Arrange the fractions in ascending order 3/7, 7/12 and 5/6.​

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