Finding a Fraction of a Whole Number

Finding a Fraction of a Whole Number Examples | How to find a Fraction of a Whole Number?

In the initial stages, you might feel Maths Problems complex and difficult? Once, you understand the formula you will no longer the concept or problems difficult. Finding the Fractional Part of a Whole Number may seem a bit difficult if you aren’t aware of the formula. However, the formula for finding a fraction of a whole number involves simple division and multiplication. Learn the step-by-step procedure on How to find a Fraction of a Whole Number and also check the solved examples provided for better understanding.

How to find a Fraction of a Whole Number?

Finding the Fraction of a Whole Number is the same as multiplying the number and fraction. This method is quite simple when it comes to whole numbers. However, to solve the problems you need to know about basic multiplication and division.

  • Obtain the numbers.
  • Multiply the whole number with the numerator of the fraction. The denominator remains unchanged during the entire process.
  • Divide the product by the denominator of the fraction.

Solved Examples on Finding a Fraction of a Number

1. Find \(\frac { 2}{ 3 } \) of 22?

Solution:

To find \(\frac { 2}{ 3 } \) of 22 multiply the numerator 2 with the whole number 22 and then divide the product with denominator 3.

i.e. \(\frac { 2}{ 3 } \) . 22

= \(\frac { 2.22}{ 3 } \)

= \(\frac { 44}{ 3 } \)

2. Find \(\frac { 3}{ 5 } \) of 15?

Solution:

To find \(\frac { 3}{ 5 } \) of 15 multiply the numerator 3 with the whole number 15 and then divide the product with denominator 5 i.e.

= \(\frac { 3}{ 5} \) . 15

= \(\frac { 3.15}{ 5 } \)

= \(\frac { 45}{ 5 } \)

= 9

3. Find \(\frac { 3 }{ 6 } \) of 54?

Solution:

To find \(\frac { 3}{ 6 } \) of 54 multiply the numerator 3 with the whole number 54 and then divide the product with denominator 6 i.e.

= \(\frac { 3}{ 6} \) . 54

= \(\frac { 3.54}{ 6} \)

= 27

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