Page 72 - Maths Class 05

Converting Mixed Fractions into Improper Fractions

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

Ÿ Multiply the whole number part by the denominator.

Ÿ Add that product to the numerator.

Ÿ Then, write the result on top of the denominator.

2
Example : Convert 3 into an improper fraction.
5

Solution : Multiply the whole number part by the denominator.

3 × 5 = 15
Add that product to the numerator.

15 + 2 = 17

Then, write that result above the denominator.

17
5

We can do the numerator in one go.

2 17
3 + = 3 × 5 + 2 =
× 5 5
1
Example : Convert 2 into an improper fraction.
9
1 19
+
Solution : 2 = 2 × 9 + 1 =
× 9 9

Know
Know
Know
Get
Get
Get to
to
Are improper fractions bad ?
No, they aren’t bad !
For mathematics, they are actually better than mixed fractions. Because mixed fractions can

be confusing when we write them in a formula. Should the two parts be added or multiplied ?
1
Mixed Fraction : What is : 1 + 2 = ?
4
1 1
Is it : 1 + 2 + = 3 ?
4 4

1 1
or is it : 1 + 2 × = 1 ?
4 2

Mathematics-5 72