Definition: When comparing fractions with like denominators (same bottom number), you look at the numerators (top numbers). The fraction with the larger numerator is greater because it represents more parts of the whole.

Steps for Comparing Fractions with Like Denominators:

1. Look at the denominators (bottom numbers). If they are the same, proceed to step 2.
2. Compare the numerators (top numbers). The fraction with the larger numerator is the larger fraction.
3. Use symbols like > (greater than), < (less than), or = (equal to) to show the comparison.

Examples:

1. Compare 3/5 and 2/5:
   • Both fractions have the same denominator (5).
   • Since 3 > 2, 3/5 is greater than 2/5.
2. Compare 4/8 and 6/8:
   • Both fractions have the same denominator (8).
   • Since 6 > 4, 6/8 is greater than 4/8.
3. Compare 1/7 and 5/7:
   • Both fractions have the same denominator (7).
   • Since 5 > 1, 5/7 is greater than 1/7.

Exercises for Practice:

Exercise 1: Compare Using >, <, or =

Compare the fractions and use the symbols > (greater than), < (less than), or = (equal to):

1. 2/4 ___ 3/4
2. 5/6 ___ 2/6
3. 4/7 ___ 4/7
4. 1/8 ___ 6/8
5. 3/5 ___ 1/5

Exercise 2: Circle the Larger Fraction

Circle the larger fraction in each pair:

1. 1/3 or 2/3
2. 5/9 or 3/9
3. 7/10 or 4/10
4. 2/6 or 5/6
5. 3/4 or 1/4

Exercise 3: True or False

Write True or False for each statement:

1. 6/8 > 3/8
2. 4/5 = 4/5
3. 2/7 < 5/7
4. 1/9 > 8/9
5. 7/12 = 7/12