Write the fractions [tex]\frac{3}{5}[/tex], [tex]1 \frac{2}{3}[/tex], [tex]\frac{15}{7}[/tex], [tex]\frac{1}{2}[/tex], [tex]2 \frac{5}{8}[/tex], and [tex]\frac{9}{4}[/tex] in order from least to greatest.
Answer (3)
3/5, 1 2/3, 15/7, 1/2, 2 5/8, 9/4
Fractions less than one: 3/5, 1/2 Fractions between one and two: 1 2/3 Fractions more than two: 15/7, 2 5/8, 9/4 ^ this gives you a general order of the fractions ^
Fractions less than one (least to greatest): 3/5 * 2 = 6/10 1/2 * 5 = 5/10 Order - 1/2, 3/5
Fractions between one and two (least to greatest): 1 2/3
Fractions more than two (least to greatest): 15/7 * 8 = 120/56 2 5/8 = 21/8 --> 21/8 * 7 = 147/56 9/4 * 14 = 126/56 Order - 15/7, 9/4, 2 5/8
Now put the orders together to get your final answer... 1/2, 3/5, 1 2/3, 15/7, 9/4, 2 5/8
1/2, 3/5, 1 2/3, 15/7, 9/4, and 2 5/8.
To order the given numbers from least to greatest, we first convert all mixed numbers to improper fractions and find their decimal equivalents. The final ordered list is: 2 1 , 5 3 , 1 3 2 , 7 15 , 4 9 , 2 8 5 . This makes it easy to see the order by comparing their decimal values.
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