Division of a Fraction by a Whole Number
We will discuss here about division of a fraction by a whole number.
|
If |
 |
represent 1 |
|
The shaded |
 |
portion represents 1 ÷ 2 or ½ of 1 or 1 × ½ = ½ |
|
and |
 |
represents ½ ÷ 3 or ½ of 1/3 = 1/3 × ½ = 1/6 |
Therefore, the rules for the division of a fractional number by a whole number is Fraction ÷ Whole number = Fraction × Reciprocal of whole number.
Hence, we conclude that to divide a fractional number by a whole number, we multiply the fractional number by the multiplicative inverse or reciprocal of the given whole number.
For Example:
1. 1/3 ÷ 3
Here 1/3 is the fraction and 3 is the whole number.
[Replace ‘÷’ by ‘×’ sign.
Replace the whole number ‘3’ by its reciprocal ‘1/3’].
= 1/3 × 1/3
= (1 × 1)/(3 × 3)
= 1/9
2. 4/7 ÷ 9
[Replace ‘÷’ by ‘×’ sign.
Replace the whole number ‘9’ by its reciprocal ‘1/9’].
= 4/7 × 1/9
= (4 × 1)/(7 × 9)
= 4/63
3. 1 2/5 ÷ 2
= (1 × 5 + 2)/5 ÷ 2
= 7/5 ÷ 2
[Replace ‘÷’ by ‘×’ sign.
Replace the whole number ‘2’ by its reciprocal ‘1/2’].
= 7/5 × 1/2
= (7 × 1)/(5 × 2)
= 7/10
4. 2 1/7 ÷ 15
= (2 × 7 + 1)/7 ÷ 15
= 15/7 ÷ 15
[Replace ‘÷’ by ‘×’ sign.
Replace the whole number ‘15’ by its reciprocal ‘1/15’].
= 15/7 × 1/15
= 1/7
5. 19/5 ÷ 37
[Replace ‘÷’ by ‘×’ sign.
Replace the whole number ‘37’ by its reciprocal ‘1/37’].
= 19/5 × 1/37
= (19 × 1)/(5 × 37)
= 19/185
6. 212/8 ÷ 4
= (21 × 8 + 2)/8 ÷ 4
= 170/8 ÷ 4
[Replace ‘÷’ by ‘×’ sign.
Replace the whole number ‘4’ by its reciprocal ‘1/4’].
= 170/8 × 1/4
= (170 × 1)/(8 × 4)
= 170/32
● 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 Math Problems
From Division of a Fraction by a Whole Number 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
-
2nd Grade Geometry Worksheet | Plane and Solid Shapes | Point | Line
Dec 14, 24 02:12 PM
2nd grade geometry worksheet -
2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic
Dec 14, 24 12:25 PM
2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. -
Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns
Dec 13, 24 08:43 AM
We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r… -
Patterns in Math | Missing Number | Counting Numbers | Worksheets
Dec 13, 24 12:31 AM
Finding patterns in math is very important to understand the sequence in the series. We need to find the exact missing number that from the group of numbers. The counting numbers may be counting -
Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern
Dec 12, 24 11:22 PM
Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features. All mangoes have si…
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.