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Converting a Mixed Fraction into an improper Fraction

To convert a mixed fraction into an improper
fraction, follow these steps: Tips

Step 1. Multiply the whole number by the
denominator. • The denominator tells us how
many equal parts the whole is
Step 2. Add the numerator to the product to get divided into.
the numerator of the improper fraction.
• A mixed fraction can always
Step 3. Keep the denominator as it is. be represented as an improper

3 fraction and vice versa.
Example 2. Convert 2 into an improper fraction.
4 • A fraction with the denominator
1 is a whole number.

3 24×+ 3 8 + 3 11 • A fraction with a denominator
Solution. 2 = = = of 0 is meaningless.
4 4 4 4

Exercise 4A

1
1. Divide the given square into 12 equal parts. Shade 1 of it red and of it blue.
3 4
a. What part of it is unshaded?
b. Identify the numerator and denominator of the fraction you have

written in part (a).
2. Circle the unit fractions among the fractions given below.

1 3 1 1 7 1 6 5
, , , , , , ,
9 4 6 7 1 10 6 14

3. Circle the pairs of like fractions.

4 5 2 8 3 7 9 11
a. , b. , c. , d. ,
7 7 7 9 8 8 13 13

4. Circle the pairs of unlike fractions.

1 1 3 4 4 4 8 9
a. , b. , c. , d. ,
5 8 5 5 7 9 11 11
5. identify the proper and improper fractions.

2 5 5 9 7
a. b. c. d. e.
3 3 8 11 1

86 Mathematics 5