Question

Adam wants to compare the fractions 3/12, 1/6, and 1/3. He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how adam can rewrite the fractions.

Answer 1

He can change 1/6 and 1/3 to make their denominators 12, so it would be 2/12 and 4/12

Answer 2

Answer:

$\frac{1}{6},\frac{3}{12},\frac{1}{3}$

or

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

Step-by-step explanation:

we have

$\frac{3}{12} , \frac{1}{6} , \frac{1}{3}$

Remember that

To make the comparison of fractions of different denominators easier, multiply each fraction by a unit fraction such that the denominator will be the same in all fractions

Step 1

Multiply $\frac{1}{6}$ by $\frac{2}{2}$

$\frac{1}{6}*\frac{2}{2}=\frac{2}{12}$

Step 2

Multiply $\frac{1}{3}$ by $\frac{4}{4}$

$\frac{1}{3}*\frac{4}{4}=\frac{4}{12}$

Step 3

Compare the fractions

$\frac{3}{12}$

$\frac{1}{6}=\frac{2}{12}$

$\frac{1}{3}=\frac{4}{12}$

Order them from least to greatest

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

$\frac{1}{6},\frac{3}{12},\frac{1}{3}$