Page 80 - ICSE Math 5

Converting Mixed Fraction to Improper Fraction

To convert a mixed fraction to an improper fraction, we follow the given steps.

• Multiply the whole number by the denominator of the fractional part.

• Add the product obtained in the above step to the numerator of the fractional part.
• Write the sum obtained in the above step as the numerator with the original denominator.

In other words, to convert a mixed fraction to an improper fraction, we use the given formula.

(Whole number × Denominator) + Numerator
Denominator

Example 7: Convert the following mixed fractions to improper fractions.
1 4
(a) 5 (b) 5
2 7

1 (5 × 2) + 1 10 + 1 11
Solution: (a) 5 = = =
2 2 2 2
4 (5 × 7) + 4 35 + 4 39
(b) 5 = = =
7 7 7 7
Comparison of Fractions

Comparing Like Fractions

To compare like fractions we compare their numerators. Fractions with greater numerators are
greater.
For example, look at the figures shown below.

1 2 3
4 4 4

1 2 3
Since , and are like fractions, we compare their numerators. Thus, on comparing the
4 4 4
1 2 3
numerators, we have 1 < 2 < 3. So, < < .
4 4 4
Thus, we can say that if two fractions have the same denominator and different numerators,
then the fraction with the greater numerator is greater than the other fraction.
5 9
Example 8: Compare and .
11 11

5 9
Solution: Since and are like fractions, compare their numerators.
11 11
On comparing the numerators, we have 9 > 5.
9 5
So, > .
11 11

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