Back to: Mathematics Primary 6
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In previous classes, we must have learnt about types of fractions, addition, subtraction and multiplication of fraction etc.
In this lesson, we will learn how to differentiate between smaller and bigger fractions, arranging them in ascending and descending order and also how to convert fractions to decimal and vice versa.
How to Identify Whether the Fraction Is A Greater Or Smaller Fraction.
Fractions having the same denominator but different numerators, that fraction which has the greater numerator is greater. If the numerators are the same but denominators are different, that fraction which has the smaller denominator is greater.
Examples:
- Which is greater? (i) 1/8 or 4/8
Solution:
1/8 or 4/8 both the fractions have equal denominators are 8 and numerators as 4 > 1.
Therefore, 4/8 > 1/8
(ii) 2/3 or 1/3
Solution:
2/3 or 1/3 both the fractions have equal denominators as 3 and numerators as 2 > 1.
Therefore, 2/3 > ⅓
- Which is greater? (i) 1/6 or 1/7
Solution:
1/6 or 1/7 both the fractions have equal numerators as 1 and denominators as 6 < 7.
Therefore, 1/6 > 1/7
(ii) 2/9 or 2/10
Solution:
2/9 or 2/10 both the fractions have equal numerators as 2 and denominators as 9 < 10.
Therefore, 2/9 > 2/10
Arranging Fractions in Ascending and Descending Order
We will discuss here how to arrange the fractions in ascending order.
- Arrange the following fractions 5/6, 8/9, 2/3 in ascending order.
First we find the L.C.M. of the denominators of the fractions to make the denominators same.
L.C.M. = 3 × 2 × 3 × 1 = 18
Now to make the fraction as like fractions divide the L.C.M. by the denominator of the fractions, then multiply both the numerator and denominator of fraction with the number get after dividing L.C.M.
As in fraction 5/6 denominator is 6. Divide 18 ÷ 6 = 3.
Now, multiply both numerator and denominator by 3 that is ⇒ 5 × 3/6 × 3 = 15/18
Similarly, 8/9 = 8 × 2/9 × 2 = 16/18 (because 18 ÷ 9 = 2)
and 2/3 = 2 × 6/3 × 6 = 12/18 (because 18 ÷ 3 = 6)
Now, we compare the like fractions 15/18, 16/18 and 12/18
Comparing numerators, we find that 16 > 15 > 12
Therefore, 16/18 > 15/18 > 12/18
or 8/9 > ⅚ > ⅔ or ⅔ < ⅚ < 8/9
The ascending order of the fractions is ⅔, ⅚, 8/9.
ACTIVITY
- Arrange the given fractions in ascending order:
Converting Decimals to Fractions
We can express a decimal number as a fraction by keeping the given number as the numerator without a decimal point and writing 1 in the denominator followed by as many zeroes on the right as the number of decimal places in the given decimal number has.
For example:
(i) 124.6 = 1246/10
(ii) 12.46 = 1246/100
(iii 1.245 = 1246/1000
Convert 0.0035 into fraction in the simplest form.
0.0035
Write the given decimal number without the decimal point as numerator.In the denominator, write 1 followed by four zeros to the right of 1 (one) as there are 4 decimal places in the given decimal number.
Now we will reduce the fraction 35/10000 and obtained to its lowest term or the simplest form.
= 7/2000
To convert a fraction having 10 in the denominator, we put the decimal point one place left of the first digit in the numerator.
Example: 6/10 = 0.6
16/10 = 1.6
To convert a fraction having 100 in the denominator, we put the decimal point two places left of the first digit in the numerator.
Example: 7/100 = 0.07
77/100 = 0.77
Example” Convert 233/100 into decimal.
Solution: 
Example: Express each of the following as decimals. 15/2, 19/25
= = = 7.5
= = = 0.60
EVALUATION
- Write each of the following as decimals:
(a) 5/100
(b) 17/10
(c) 87/1000
(d) 9/100
(e) 81/1000
(f) 2222/100
- Express each of the following as decimals:
(a) 17/5
(b) 231/2
(c) 1297/4
(d) 347/50
(e) 1234/25
- Express each of the following as fractions:
(a) 3.47
(b) 17.001
(c) 0.97
(d) 2.09
(e) 0.009
- Express each of the following as fractions in the lowest form:
(a) 18.64
(b) 0.008
(c) 165.2
(d) 0.28
(e) 3.5
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