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Welcome to our Math lesson on Division of Fractions, this is the sixth lesson of our suite of math lessons covering the topic of Operations with Fractions, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Division of Fractions
Division is the inverse operation of multiplication. Giving that
x ÷ y = x/y = x × 1/y
we obtain
a/b ÷ c/d = a/b × d/c = (a × d)/(b × c)
Example 6
Calculate:
3/4 ÷ 2/5
2 ÷ 4/3
3/7 ÷ 4
2 1/3 ÷ 6 3/5
Solution 6
We have
3/4 ÷ 2/5 = 3/4 × 5/2
= (3 × 5)/(4 × 2)
= 15/8
We have
2 ÷ 4/3 = 2/1 × 3/4
= (2 × 3)/(1 × 4)
= 6/4
= 3/2
= 1 1/2
We have
3/7 ÷ 4 = 3/7 ÷ 4/1
= 3/7 × 1/4
= (3 × 1)/(7×4)
= 3/28
It is better to have the mixed numbers written as fractions. We have
2 1/3 ÷ 6 3/5 = (2 × 3 + 1)/3 ÷ (6 × 5 + 3)/5
= 7/3 ÷ 33/5
= 7/3 × 5/33
= (7 × 5)/(3 × 33)
= 35/99
More Operations with Fractions Lessons and Learning Resources
Fractions Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 3.4 | Operations with Fractions | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 3.4.1 | Addition of Fractions | | |
| 3.4.2 | Addition of fractions with different denominators | | |
| 3.4.3 | Addition of improper fractions and/or mixed numbers | | |
| 3.4.4 | Subtraction of Fractions | | |
| 3.4.5 | Multiplication of Fractions | | |
| 3.4.6 | Division of Fractions | | |
| 3.4.7 | Power of Fractions | | |
| 3.4.8 | Application of PEMDAS Rule in Operations with Fractions | | |
| 3.4.9 | Applications of Operations with Fractions in Practice | | |
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- Fractions Math tutorial: Operations with Fractions. Read the Operations with Fractions math tutorial and build your math knowledge of Fractions
- Fractions Video tutorial: Operations with Fractions. Watch or listen to the Operations with Fractions video tutorial, a useful way to help you revise when travelling to and from school/college
- Fractions Revision Notes: Operations with Fractions. Print the notes so you can revise the key points covered in the math tutorial for Operations with Fractions
- Fractions Practice Questions: Operations with Fractions. Test and improve your knowledge of Operations with Fractions with example questins and answers
- Check your calculations for Fractions questions with our excellent Fractions calculators which contain full equations and calculations clearly displayed line by line. See the Fractions Calculators by iCalculator™ below.
- Continuing learning fractions - read our next math tutorial: Converting Fractions to Decimals and Vice-versa
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