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.
He can change 1/6 and 1/3 to make their denominators 12, so it would be 2/12 and 4/12
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
\(\frac{2}{12},\frac{3}{12},\frac{4}{12}\)
\(\frac{1}{6},\frac{3}{12},\frac{1}{3}\)