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Comparing Fractions

Units and Fractions Comparing Fractions

Courses Overview

🎬 Video Tutorial

(0:01) Comparing Fractions with the Same Denominator: The fraction with the larger numerator is greater (e.g., 5/8 $>$ 3/8).
(0:22) Comparing Fractions with the Same Numerator: The fraction with the smaller denominator is greater because each part is larger (e.g., 4/5 $>$ 4/9).
(0:48) The Common Denominator Method: For fractions with different numerators and denominators, find the lowest common multiple (LCM) of the denominators (e.g., 5/6 $>$ 7/10).
(2:22) Multiples and Prime Numbers in Comparison: If denominators have no common factors, multiply them directly to find the LCM, then adjust both fractions to compare (e.g., 4/11 vs. 5/12).

📂 Revision Cards

Comparing fractions, showing 5/8 is greater than 3/8 with chocolate bars, and 4/5 is greater than 4/9 with pizza slices. — 1) Rules for Comparing Fractions

Steps to compare fractions by finding the lowest common multiple (LCM) of denominators and converting fractions to have the same denominator. — 2) Practise Comparing Fractions

Comparing fractions by finding the lowest common multiple (LCM) of denominators, converting fractions, and identifying the larger numerator. — 3) Practise Comparing Fractions part 2

🍪 Quiz Time - Practice Now!

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Comparing Fractions

1 / 6

Q: Which is greater, $\frac{3}{7}$ or $\frac{5}{7}$?

$\frac{3}{7}$

They are Equal

$\frac{5}{7}$

Cannot be determined

Feedback: Not quite! Since both fractions have the same denominator, comparing the numerators tells us that 5/7 is greater than 3/7.

Feedback: Well done! Since both fractions have the same denominator, comparing the numerators tells us that 5/7 is greater than 3/7.

2 / 6

Q: Which is greater, $\frac{4}{9}$ or $\frac{4}{11}$?

$\frac{4}{11}$

Cannot be determined

They are Equal

$\frac{4}{9}$

Feedback: Not quite! Since both fractions have the same numerator, the fraction with the smaller denominator (4/9) represents a larger value.

Feedback: Well done! Since both fractions have the same numerator, the fraction with the smaller denominator (4/9) represents a larger value.

3 / 6

Q: Which fraction is greater: $\frac{11}{15}$ or $\frac{7}{10}$?

$\frac{11}{15}$

They are Equal

Cannot be determined

$\frac{7}{10}$

Feedback: Not quite! To compare 11/15 and 7/10, bring them to the same denominator. The lowest common denominator of 15 and 10 is 30, so convert both fractions: 11/15 = 22/30 and 7/10 = 21/30. Since 22/30 > 21/30, we can say that 11/15 is greater than 7/10.

Feedback: Well done! To compare 11/15 and 7/10, bring them to the same denominator. The lowest common denominator of 15 and 10 is 30, so convert both fractions: 11/15 = 22/30 and 7/10 = 21/30. Since 22/30 > 21/30, we can say that 11/15 is greater than 7/10.

4 / 6

Q: Which fraction is greater: $\frac{7}{10}$ or $\frac{2}{3}$?

They are Equal

Cannot be determined

$\frac{7}{10}$

$\frac{2}{3}$

Feedback: Not quite! To compare 7/10 and 2/3, bring them to the same denominator. The lowest common denominator of 10 and 3 is 30, so convert both fractions: 7/10 = 21/30 and 2/3 = 20/30. Since 21/30 > 20/30, we can say that 7/10 is greater than 2/3.

Feedback: Well done! To compare 7/10 and 2/3, bring them to the same denominator. The lowest common denominator of 10 and 3 is 30, so convert both fractions: 7/10 = 21/30 and 2/3 = 20/30. Since 21/30 > 20/30, we can say that 7/10 is greater than 2/3.

5 / 6

Q: Which is greater: $\frac{7}{12}$ or $\frac{5}{8}$?

$\frac{5}{8}$

Cannot be determined

They are Equal

$\frac{7}{12}$

Feedback: Not quite! To compare 7/12 and 5/8, bring them to the same denominator. The lowest common denominator of 12 and 8 is 24, so convert both fractions: 7/12 = 14/24 and 5/8 = 15/24. Since 15/24 > 14/24, we can say that 5/8 is greater than 7/12.

Feedback: Well done! To compare 7/12 and 5/8, bring them to the same denominator. The lowest common denominator of 12 and 8 is 24, so convert both fractions: 7/12 = 14/24 and 5/8 = 15/24. Since 15/24 > 14/24, we can say that 5/8 is greater than 7/12.

6 / 6

Q: Compare $\frac{9}{13}$ or $\frac{3}{4}$. Which fraction is smaller?

$\frac{3}{4}$

$\frac{9}{13}$

They are Equal

Cannot be determined

Feedback: Not quite! To compare 9/13 and 3/4, bring them to the same denominator. Since 13 and 4 have no common factors, we multiply them to get the lowest common denominator: 13 × 4 = 52. Now convert both fractions: 9/13 = 36/52 and 3/4 = 39/52. Since 36/52 < 39/52, we can say that 9/13 is smaller than 3/4.

Feedback: Well done! To compare 9/13 and 3/4, bring them to the same denominator. Since 13 and 4 have no common factors, we multiply them to get the lowest common denominator: 13 × 4 = 52. Now convert both fractions: 9/13 = 36/52 and 3/4 = 39/52. Since 36/52 < 39/52, we can say that 9/13 is smaller than 3/4.

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