Solved Examples on Fractions

Example 1:

Is 12/6 a fraction?

Solution:

Yes, it is. It is called an improper fraction. 

Example 2:

Convert 130.1200 into a fraction.

Solution:

Here will use the concept of how to convert decimals into fractions

130.1200 = 130.1200/10000 

= 13012/100

Example 3:

Add 3/ 5 and 10/15.

Solution:

3 /5 + 10/15 

LCM of 5 and 15 is 15

= (9 + 10)/15

= 19/15

Example 4:

Which of the following fraction is the largest?

(a) 29/23

(b) 29/27

(c) 29/25

(d) 29/30

Solution:

To find whether the largest fractions among the given options, first convert the fractional value to the decimal value.

(a) 29/23 = 1.261

(b) 29/27 = 1.074

(c) 29/25 = 1.16

(d) 29/30 = 0.967

Thus, 29/23 is the largest fraction among the given options.

Hence, option (a) 29/23 is the correct answer.

Example 5: 

Reduce the fraction 15/65 to the simplest form.

Solution:

Given fraction: 15/65.

Factors of 15: 1, 3, 5 and 15

Factors of 65: 1, 5, 13, and 65

Hence, the greatest common factor of 15 and 65 is 5.

i.e. GCF (15, 65) = 5.

Now, divide both the numerator and the denominator of the given fraction (16/65) by 5, we get

15/65 = (15/5) / (65/5) = 3/13.

Hence, the simplest form of the fraction 15/65 is 3/13.