Let's solve each word problem step by step and estimate the correct answer.
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Problem 1:
Lola needs one square foot of origami sheet to make a model. She has one-half of a square foot and one-fourth of a square foot of origami sheet. The total area of the origami sheet she has is _________.
- She has:
- $ \frac{1}{2} $ square foot
- $ \frac{1}{4} $ square foot
Add them:
$$
\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}
$$
$ \frac{3}{4} $ is
less than 1.
✔ Answer: Less than one square foot.
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Problem 2:
Jonah needs one square meter of wallpaper for a special design on her wall. She has four-fifths of a square meter of a blue wallpaper. She also has three-fifths of a square meter of a yellow wallpaper. The area of the wallpaper she has is _________.
- Blue: $ \frac{4}{5} $
- Yellow: $ \frac{3}{5} $
Total:
$$
\frac{4}{5} + \frac{3}{5} = \frac{7}{5} = 1.4
$$
$ 1.4 $ is
more than 1.
✔ Answer: More than one square meter.
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Problem 3:
Laura baked a cookie. Kate took two-fourths of the cookie. Jane took three-sixths of the cookie. The quantity of the cookie taken by Kate and Jane is _________.
Simplify fractions:
- Kate: $ \frac{2}{4} = \frac{1}{2} $
- Jane: $ \frac{3}{6} = \frac{1}{2} $
Total:
$$
\frac{1}{2} + \frac{1}{2} = 1
$$
So, they took
exactly one whole cookie.
✔ Answer: Equal to one cookie.
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Problem 4:
Fiona spent four-fifths of an hour watching television. Then she spent one-half of an hour riding a bike. The total time she spent watching the television and riding the bike is _________.
- TV: $ \frac{4}{5} $ hour
- Bike: $ \frac{1}{2} $ hour
Convert to common denominator (10):
$$
\frac{4}{5} = \frac{8}{10}, \quad \frac{1}{2} = \frac{5}{10}
$$
$$
\frac{8}{10} + \frac{5}{10} = \frac{13}{10} = 1.3 \text{ hours}
$$
1.3 hours is
more than one hour.
✔ Answer: More than an hour.
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Problem 5:
Gia took seven-tenths of a meter of a yellow cloth. She stitched three-fifths of a meter of a blue cloth on one end of the yellow cloth. The total length of the cloth is _________.
- Yellow: $ \frac{7}{10} $
- Blue: $ \frac{3}{5} = \frac{6}{10} $
Total:
$$
\frac{7}{10} + \frac{6}{10} = \frac{13}{10} = 1.3 \text{ meters}
$$
1.3 meters is
more than one meter.
✔ Answer: More than one meter.
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✔ Final Answers:
1.
Less than one square foot.
2.
More than one square meter.
3.
Equal to one cookie.
4.
More than an hour.
5.
More than one meter.
Tick these options accordingly!
Parent Tip: Review the logic above to help your child master the concept of estimating word problems worksheet.
