Page 82 - ICSE Math 5

Step 3: Compare the numerators of the fractions obtained in step 2.
15 8
Since 15 > 8, 20 > 20 .
3 2
So, > .
4 5
8 3
Example 10: Compare and by cross-multiplication method.
15 25

Solution: Step 1: Write the two fractions side by side Remember
and cross-multiply as shown: Do not change the
8 3 order. Always compare
15 25 the first fraction with the
second fraction and not
8 × 25 = 200 and 15 × 3 = 45
vice versa.
Step 2: Compare the first product with the
second product.
8 3
Since 200 > 45, > .
15 25
8 3
So, > .
15 25

Comparing Mixed Fractions

• To compare mixed fractions, compare the whole numbers in the given fractions. The mixed
1 1
fraction with the greater whole number is greater. For example, 9 > 7 .
2 3
• If the whole number in both the mixed fractions is the same, then compare their fractional
4 3
parts. The mixed fraction with the greater fractional part is greater. For example, 7 > 7
4 3 13 15
as > .
13 15
• To compare a mixed fraction with any fraction, convert the mixed fraction to an improper
1 7 1 11 7
fraction and then compare. For example, 2 > as 2 = , which is greater than .
5
5
1 15 5 5 5
Example 11: Compare 4 and .
2 2
1
Solution: Step 1: Convert 4 to an improper fraction.
2
1 (4 × 2) + 1 9
4 = =
2 2 2
Step 2: Compare the two fractions.
9 15
Since 9 < 15, so < .
2 2
1 15
Therefore, 4 < .
2 2
Ordering of Fractions

As we have already learnt how to compare like, unlike and mixed fractions, we can arrange the
fractions in ascending or descending order.

72