Compare Fractions: Like Denominators

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Compare fractions with the same denominator.

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Basma Elfouli

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Compare Fractions: Like DenominatorsVersión en línea Compare fractions with the same denominator. por Basma Elfouli 1 What are like denominators? Like denominators are fractions that share the same bottom number. For example, 2/8 and 5/8 have the same denominator of 8. With like denominators, we compare by the numerators. 2 Rule of thumb Rule of thumb: when denominators are the same, the fraction with the larger numerator is the larger fraction. For example, 4/9 > 3/9 because 4 is bigger than 3. 3 Example 1 Compare 2/6 and 5/6. Since both have denominator 6, compare numerators: 2 is less than 5, so 2/6 is smaller than 5/6. 4 Example 2 Compare 7/12 and 7/12. The numerators are the same, so the fractions are equal (7/12 = 7/12). 5 More practice Practice: 3/8 is less than 6/8 5/8 is greater than 4/8 1/8 is less than 2/8 6 Common mistakes Common mistake: mixing up denominators or trying to compare fractions with different denominators. Remember: only compare numerators when denominators are equal. 7 Visual aids Visual aid: use a number line or bars. Mark equal parts; the larger highlighted part represents the larger fraction when denominators match. 8 Word problems Word problem: Maria has 3/10 of a pizza and 7/10 of a pizza for another day. Which is more? 7/10 is larger. 9 Quick check Quick check: If you compare 4/9 and 3/9, the one with the bigger numerator is larger, so 4/9 is bigger. 10 Summary Summary: When fractions share a denominator, compare the numerators to decide which is larger or if they are equal.

Compare Fractions: Like DenominatorsVersión en línea

Compare fractions with the same denominator.

por Basma Elfouli

What are like denominators?

Like denominators are fractions that share the same bottom number. For example, 2/8 and 5/8 have the same denominator of 8. With like denominators, we compare by the numerators.

Rule of thumb

Rule of thumb: when denominators are the same, the fraction with the larger numerator is the larger fraction. For example, 4/9 > 3/9 because 4 is bigger than 3.

Example 1

Compare 2/6 and 5/6. Since both have denominator 6, compare numerators: 2 is less than 5, so 2/6 is smaller than 5/6.

Example 2

Compare 7/12 and 7/12. The numerators are the same, so the fractions are equal (7/12 = 7/12).

More practice

Practice:

3/8 is less than 6/8
5/8 is greater than 4/8
1/8 is less than 2/8

Common mistakes

Common mistake: mixing up denominators or trying to compare fractions with different denominators. Remember: only compare numerators when denominators are equal.

Visual aids

Visual aid: use a number line or bars. Mark equal parts; the larger highlighted part represents the larger fraction when denominators match.

Word problems

Word problem: Maria has 3/10 of a pizza and 7/10 of a pizza for another day. Which is more? 7/10 is larger.

Quick check

Quick check: If you compare 4/9 and 3/9, the one with the bigger numerator is larger, so 4/9 is bigger.

Summary

Summary: When fractions share a denominator, compare the numerators to decide which is larger or if they are equal.

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