Let’s go through each problem one by one. We’ll compare the fractions by thinking about how much of the circle is shaded — more shaded means a bigger fraction.
We already know from #1:
1/2 > 1/3 → because half a circle is more than one-third.
Now let’s do the rest:
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2) 1/3 vs 1/4
Imagine cutting a pizza into 3 slices vs 4 slices. One slice out of 3 is BIGGER than one slice out of 4.
→
1/3 > 1/4
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3) 1/5 vs 1/3
One piece out of 5 is smaller than one piece out of 3.
→
1/5 < 1/3
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4) 1/2 vs 2/4
Half a circle is the same as two-quarters (because 2/4 = 1/2).
→
1/2 = 2/4
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5) 3/4 vs 2/3
Think: 3 out of 4 parts shaded vs 2 out of 3.
If you draw it, 3/4 covers more area than 2/3.
(You can also think: 3/4 = 0.75, 2/3 ≈ 0.666… so 3/4 is bigger.)
→
3/4 > 2/3
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6) 2/5 vs 1/2
Two-fifths is less than half. Half would be 2.5/5, so 2/5 is less.
→
2/5 < 1/2
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7) 1/3 vs 2/6
2/6 simplifies to 1/3 (divide top and bottom by 2). So they’re equal.
→
1/3 = 2/6
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8) 1/4 vs 1/5
One-fourth is bigger than one-fifth (like one slice of a 4-slice pizza vs a 5-slice pizza).
→
1/4 > 1/5
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9) 3/5 vs 3/4
Same number of pieces (3), but fifths are smaller than fourths. So 3/4 is bigger.
→
3/5 < 3/4
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10) 5/6 vs 2/2
2/2 means the whole circle (all shaded). 5/6 is almost all, but not quite.
So 5/6 is less than 2/2.
→
5/6 < 2/2
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Final Answer:
1) >
2) >
3) <
4) =
5) >
6) <
7) =
8) >
9) <
10) <
Parent Tip: Review the logic above to help your child master the concept of comparing fractions worksheet 2nd grade.
