Here are the solutions to the problems on your worksheet.
Section A: Colour and Compare
*Note: You will need to colour the shapes yourself, but here is how to do it and which fraction is bigger.*
1)
*
$\frac{1}{4}$: Colour
1 out of the 4 squares.
*
$\frac{1}{2}$: Colour
1 out of the 2 rectangles.
*
Which is biggest? $\frac{1}{2}$ is bigger. (Half a pizza is more than a quarter of a pizza).
2)
*
$\frac{1}{8}$: Colour
1 slice of the circle cut into 8 pieces.
*
$\frac{1}{5}$: Colour
1 slice of the circle cut into 5 pieces.
*
Which is biggest? $\frac{1}{5}$ is bigger. (When you share with fewer people, everyone gets more).
3)
*
$\frac{1}{9}$: Colour
1 small triangle inside the big triangle divided into 9 parts.
*
$\frac{1}{4}$: Colour
1 medium triangle inside the big triangle divided into 4 parts.
*
Which is biggest? $\frac{1}{4}$ is bigger.
4)
*
$\frac{1}{3}$: Colour
1 block in the top row (which has 3 blocks).
*
$\frac{1}{5}$: Colour
1 block in the bottom row (which has 5 blocks).
*
Which is biggest? $\frac{1}{3}$ is bigger.
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Section B: Compare using $<$, $>$, or $=$
*Remember: For unit fractions (where the top number is 1), the
smaller bottom number means the
bigger piece.*
1) $\frac{1}{7}$ vs $\frac{1}{8}$
Since 7 is smaller than 8, sevenths are bigger pieces than eighths.
Answer:
$>$
2) $\frac{1}{10}$ vs $\frac{1}{6}$
Since 10 is bigger than 6, tenths are smaller pieces than sixths.
Answer:
$<$
3) $\frac{1}{2}$ vs $\frac{1}{3}$
Since 2 is smaller than 3, halves are bigger pieces than thirds.
Answer:
$>$
4) $\frac{1}{6}$ vs $\frac{1}{5}$
Since 6 is bigger than 5, sixths are smaller pieces than fifths.
Answer:
$<$
5) $\frac{1}{12}$ vs $\frac{1}{8}$
Since 12 is bigger than 8, twelfths are smaller pieces than eighths.
Answer:
$<$
6) $\frac{1}{3}$ vs $\frac{1}{4}$
Since 3 is smaller than 4, thirds are bigger pieces than quarters.
Answer:
$>$
7) $\frac{1}{11}$ vs $\frac{1}{9}$
Since 11 is bigger than 9, elevenths are smaller pieces than ninths.
Answer:
$<$
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Final Answer:
Section A:
1) $\frac{1}{2}$
2) $\frac{1}{5}$
3) $\frac{1}{4}$
4) $\frac{1}{3}$
Section B:
1) $>$
2) $<$
3) $>$
4) $<$
5) $<$
6) $>$
7) $<$
Parent Tip: Review the logic above to help your child master the concept of unit fractions worksheet.
