Inserting a Fraction between Two Given Fractions
Inserting a fraction between two given fractions are discussed below:
If a/b and c/d are two given fractions and a/b < c/d then
Example:
1. Insert a fraction between 2/3 and 5/6, given 2/3 < 5/6.
Solution:
Required fraction between 2/3 and 5/6 is (2+5)/(3+6)=7/9
Therefore, 2/3 < 7/9 < 5/6.
2. Insert a fraction between 1/2 and 3/4, given 1/2 < 3/4.
Solution:
Required fraction between 1/2 and 3/4 is (1+3)/(2+4)=4/6=2/3.
3. Insert a fraction between 2/3 and 3/4, given 2/3 3/4.
Solution:
Required fraction between 2/3 and 3/4 is (2+3)/(3+4) = 5/7.
4. Insert a fraction between 5/7 and 3/4, given 5/7 < 3/4.
Solution:
Required fraction between 5/7 and 3/4 is (5+3)/(7+4) = 8/11.
5. Insert a fraction between 5/7 and 8/11, given 5/7 < 8/11.
Solution:
Required fraction between 5/7 and 8/11 is (5+8)/(7+11) = 13/18.
● Fraction
Representations of Fractions on a Number Line
Conversion of Mixed Fractions into Improper Fractions
Conversion of Improper Fractions into Mixed Fractions
Interesting Fact about Equivalent Fractions
Addition and Subtraction of Like Fractions
Addition and Subtraction of Unlike Fractions
Inserting a Fraction between Two Given Fractions
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