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
-
Basic Multiplication Facts | Repeated Addition |Multiplication Process
Jan 15, 25 12:23 AM
Some basic multiplication facts are needed to follow for multiplying numbers. The repeated addition of the same number is expressed by multiplication in short. -
Properties of Multiplication | Multiplicative Identity | Whole Numbers
Jan 15, 25 12:08 AM
There are six properties of multiplication of whole numbers that will help to solve the problems easily. The six properties of multiplication are Closure Property, Commutative Property, Zero Property… -
Multiplication Table | Learn Tables from 0 – 25 | Multiplication Table
Jan 14, 25 11:53 PM
In math multiplication table we will learn the tables from 0 – 25. These multiplication tables help the students to learn the essential multiplication facts. Multiplication tables are very important f… -
3rd Grade Math Worksheets |3rd Grade Math Sheets|3rd Grade Math Lesson
Jan 14, 25 11:02 PM
3rd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students. -
3rd Grade Subtraction Worksheet | 3-Digit Subtraction Worksheets | Ans
Jan 14, 25 01:57 PM
In 3th Grade Addition Worksheet we will solve how to subtract 3-digit numbers by expansion, subtraction of 3-digit numbers without regrouping, subtraction of 3-digit numbers with regrouping, propertie…
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.