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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 :

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

Answer:

[tex]\frac{1}{6},\frac{3}{12},\frac{1}{3}[/tex]

or

[tex]\frac{2}{12},\frac{3}{12},\frac{4}{12}[/tex]

Step-by-step explanation:

we have

[tex]\frac{3}{12} , \frac{1}{6} , \frac{1}{3}[/tex]

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 [tex]\frac{1}{6}[/tex] by [tex]\frac{2}{2}[/tex]

[tex]\frac{1}{6}*\frac{2}{2}=\frac{2}{12}[/tex]

Step 2

Multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{4}{4}[/tex]

[tex]\frac{1}{3}*\frac{4}{4}=\frac{4}{12}[/tex]

Step 3

Compare the fractions

[tex]\frac{3}{12}[/tex]

[tex]\frac{1}{6}=\frac{2}{12}[/tex]

[tex]\frac{1}{3}=\frac{4}{12}[/tex]

Order them from least to greatest

[tex]\frac{2}{12},\frac{3}{12},\frac{4}{12}[/tex]

[tex]\frac{1}{6},\frac{3}{12},\frac{1}{3}[/tex]

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