Page 67 - Start Up Mathematics_5

3 Convert to improper fractions and arrange in ascending order.
3
1
1
2
1
(a) 2 (b) 7 (c) 9 (d) 4 (e) 8 (f) 5 3
5 2 3 5 6 5
4 Reduce the following fractions to their lowest term.
(a) 49 (b) 75 (c) 5 (d) 90 (e) 56 (f) 84
63 40 35 40 12 48
5 Solve and reduce to the lowest term.

1
1
1
4
3
1
3
1
(a) 13 + (b) 3 + 5 (c) 9 – 7 (d) 5 + 3 (e) 6 – 2 1
12 7 2 4 2 3 7 2 4 8
Fraction as Division
4
= means 4 ÷ 6
6
3
Similarly, means 3 ÷ 5.
5
Thus, every fraction can be written as division. Also, every division can be expressed as a

fraction, i.e., 7 ÷ 11 means 7 .
11

Comparison of Unlike Fractions
We can compare fractions by various ways. Let’s learn the LCM method and cross-multiplication
method of comparing fractions.

LCM method

Example 1: Hariti had 8 pieces of chocolates out
of which she ate 5. Her brother Noni
had 12 pieces of chocolates out of
which he ate 7. Who ate more?

Solution: To find out who ate more chocolates, we need to compare the two fractions,
5 and 7 .
8 12 2 8 , 12
Step 1: Find the LCM of 8 and 12. 2 4 , 6
Step 2: Make the denominators equal to the LCM. 2 2 , 3
5 = 5 × 3 = 15 , 7 = 7 × 2 = 14 3 1 , 3
8 8 × 3 24 12 12 × 2 24 1 , 1
Step 3: Compare the numerators. LCM = 2 × 2 × 2 × 3 = 24
15 > 14

So, 5 > 7 .
8 12
Thus, Hariti ate more chocolates than Noni.

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