Subscribe to our YouTube channel for the latest videos, updates, and tips.
Division of a Whole Number by a Fraction
We will discuss here about division of a whole number by a fraction.
Look at the collection of circles. It has 8 circles.
How many two’s are there in 8?
How many two’s are there in 8? So we find there are 4 two in 8.
Now what does the following statement mean?
How many halves are there in 8? To find this, let us divide each of the 8 circles into halves.
We find there are 16 halves in 8
So, the answer is 8 ÷ ½ = 16
i.e. = 8 ÷ ½ = 8 × 2/1 = 8 × 2/1 = 16
Therefore, the rules for the division of a whole number by a fractional number is
Whole Number ÷ Fraction = Whole Number × Reciprocal of Fraction.
Hence, we conclude that to divide whole number by a fractional number, we multiply the whole number by multiplicative inverse of the fractional number.
Note: Wherever mixed numbers are used first change them into improper fractions.
For Example:
1. 4 ÷ 1/3
[We know, Whole Number × Reciprocal of Fraction]
Reciprocal of Fraction of ‘1/3’ is ‘3’
= 4 × 3
= 12
2. 16 ÷ 2/5
Reciprocal of Fraction of ‘2/5’ is ‘5/2’
= 16 × 5/2
= (16 × 5)/2
= 8 × 5
= 40
3. 24 ÷ 1 3/5
= 24 ÷ (1 × 5 + 3)/5
= 24 ÷ 8/5
Reciprocal of Fraction of ‘8/5’ is ‘5/8’
= 24 × 5/8
= 3 × 5
= 15
4. 49 ÷ 7/3
Reciprocal of Fraction of ‘7/3’ is ‘3/7’
= 49 × 3/7
= 7 × 3
= 21
5. 11 9/9 ÷ 12/7
= (11 × 9 + 9)/9 ÷ 12/7
= 108/9 ÷ 12/7
Reciprocal of Fraction of ‘12/7’ is ‘7/12’
= 108/9 × 7/12
= 7
6. 91 ÷ 91/34
Reciprocal of Fraction of ‘91/34’ is ‘34/91’
= 91 × 34/91
= 34
● Multiplication is Repeated Addition.
● Multiplication of Fractional Number by a Whole Number.
● Multiplication of a Fraction by Fraction.
● Properties of Multiplication of Fractional Numbers.
● Worksheet on Multiplication on Fraction.
● Division of a Fraction by a Whole Number.
● Division of a Fractional Number.
● Division of a Whole Number by a Fraction.
● Properties of Fractional Division.
● Worksheet on Division of Fractions.
● Simplification of Fractions.
● Worksheet on Simplification of Fractions.
● Worksheet on Word Problems on Fractions.
5th Grade Numbers Page
5th Grade Math Problems
from Division of a Whole Number by a Fraction to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Speed Distance and Time | Relation between Speed Distance and Time
May 21, 25 12:58 PM
Speed is defined as the distance covered per unit time. Speed = (Distance Travelled)/(Time Taken) Or, S = D/T. Speed also requires a unit of measurement. If the distance is in kilometres -
Math Problem Answers | Solved Math Questions and Answers | Free Math
May 21, 25 12:45 PM
Math problem answers are solved here step-by-step to keep the explanation clear to the students. In Math-Only-Math you'll find abundant selection of all types of math questions for all the grades -
Test of Divisibility | Divisibility Rules| Divisible by 2, 3, 5, 9, 10
May 21, 25 10:29 AM
The test of divisibility by a number ‘x’ is a short-cut method to detect whether a particular number ‘y’ is divisible by the number ‘x’ or not. Test of divisibility by 2: A number is divisible by 2 -
Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7
May 21, 25 10:17 AM
Divisible by 7 is discussed below: We need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be -
Average Word Problems | Worksheet on Average Questions with Answers
May 20, 25 05:40 PM
In average word problems we will solve different types of problems on basic concept of average. 1. Richard scored 80, 53, 19, 77, 29 and 96 runs in 6 innings in a series. Find the average runs scored…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.