1. Shade the fraction of each figure given below: (a) (b) (c) (d) 2. What fraction of each picture is shaded? (a) (b) (c) 3. Write the following fraction in numerals: (a) one-half... 1. Shade the fraction of each figure given below: (a) (b) (c) (d) 2. What fraction of each picture is shaded? (a) (b) (c) 3. Write the following fraction in numerals: (a) one-half (b) two-thirds (c) three-fourths 4. What fraction of an hour is 45 minutes? 5. Write the numbers from 101 to 112. What fraction of them are prime numbers? 6. Write a fraction whose: (a) numerator = 2, denominator = 5 (b) denominator = 12, numerator = 7 (c) numerator = 19, denominator = 23 7. What fraction of a day is 16 hours? 8. David bought 6 marbles. His friend gave him 4 marbles. What fraction of his total marbles did he buy? 9. What fraction of an hour is 10 minutes? 10. 4 apples were equally shared by 5 children. What was each child's share? 11. What is the fraction of even numbers to natural numbers up to 10?
Understand the Problem
The question is a multi-part exercise focused on fractions, asking to shade figures, write fractions in numerals, and solve specific problems related to fractions of time and objects.
Answer
Shaded fractions: $\frac{3}{4}, \frac{2}{3}, \frac{1}{4}, \frac{3}{8}$. Written fractions in numerals: $\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{7}$. Multiple choice: (9) 6, (10) $\frac{4}{5}$. Even numbers fraction: $\frac{1}{2}$.
Answer for screen readers
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Shaded fractions:
- (a) $\frac{3}{4}$
- (b) $\frac{2}{3}$
- (c) $\frac{1}{4}$
- (d) $\frac{3}{8}$
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Shaded in pictures:
- (a) $\frac{2}{3}$
- (b) $\frac{1}{4}$
- (c) $\frac{2}{3}$
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Written in numerals:
- (a) $\frac{1}{2}$
- (b) $\frac{2}{3}$
- (c) $\frac{3}{4}$
- (d) $\frac{4}{7}$
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Result of multiple choice:
- (9) Option (c): 6
- (10) Option (b): $\frac{4}{5}$
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Fraction of even numbers: $\frac{1}{2}$.
Steps to Solve
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Shade the fraction of each figure For each figure, determine the total parts and the shaded parts.
- (a) Total parts = 4, Shaded parts = 3. So, the fraction is $\frac{3}{4}$.
- (b) Total parts = 6, Shaded parts = 4. So, the fraction is $\frac{4}{6}$, which simplifies to $\frac{2}{3}$.
- (c) Total parts = 4, Shaded parts = 1. So, the fraction is $\frac{1}{4}$.
- (d) Total parts = 8, Shaded parts = 3. So, the fraction is $\frac{3}{8}$.
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Fraction of each picture shaded Analyze each picture to find the shaded areas.
- (a) 2 out of 3 shapes shaded. Fraction = $\frac{2}{3}$.
- (b) 1 out of 4 blocks shaded. Fraction = $\frac{1}{4}$.
- (c) 6 out of 9 squares shaded. Fraction = $\frac{6}{9}$, which simplifies to $\frac{2}{3}$.
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Write the following fraction in numerals Convert the verbal fractions into numerals.
- (a) One-half = $\frac{1}{2}$.
- (b) Two-third = $\frac{2}{3}$.
- (c) Three-fourths = $\frac{3}{4}$.
- (d) Four-sevenths = $\frac{4}{7}$.
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Calculate fractions of time Determine the fractional representation of given time.
- (5) $\frac{10}{60}$ = $\frac{1}{6}$ of an hour.
- (7) $\frac{1}{24}$ of a day = $\frac{1}{16}$.
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Fraction of marbles bought Calculate the fractions.
- Total marbles = 6 + 4 = 10.
- David bought 6 marbles, friend's marbles = 4. Fraction of bought marbles = $\frac{6}{10}$ = $\frac{3}{5}$.
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Tick the correct option Choose the correct answer from the provided options.
- (9) Correct option is (c) $\frac{60}{10} = 6$.
- (10) Each child's share from 4 apples: $\frac{4}{5}$.
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Fraction of even numbers to natural numbers up to 10 Count the even numbers (2, 4, 6, 8, 10) = 5.
- Total natural numbers = 10.
- Fraction = $\frac{5}{10}$ = $\frac{1}{2}$.
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Shaded fractions:
- (a) $\frac{3}{4}$
- (b) $\frac{2}{3}$
- (c) $\frac{1}{4}$
- (d) $\frac{3}{8}$
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Shaded in pictures:
- (a) $\frac{2}{3}$
- (b) $\frac{1}{4}$
- (c) $\frac{2}{3}$
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Written in numerals:
- (a) $\frac{1}{2}$
- (b) $\frac{2}{3}$
- (c) $\frac{3}{4}$
- (d) $\frac{4}{7}$
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Result of multiple choice:
- (9) Option (c): 6
- (10) Option (b): $\frac{4}{5}$
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Fraction of even numbers: $\frac{1}{2}$.
More Information
Understanding fractions in the context of various problems helps deepen comprehension about segments, proportions, and comparisons. This exercise enhances mathematical reasoning and application.
Tips
- Forgetting to simplify fractions when possible.
- Miscounting the shaded portions in figures.
- Confusion between the terms numerator and denominator.
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