Addition And subtraction of Mixed fractions:
We have learnt About normal addition and subtraction of fractions in our previous blog. Now we learn addition and subtraction of mixed fractions. So let's start.
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Addition of Mixed fractions with same denominators:
Example: Add The mixed fractions
1¾ + 2¾
Solution:
Step 1 - convert each mixed fractions to improper fractions. =7/4 + 11/4.
Step 2 - Add the Numerators and keep denominator same. =18/4.
Step 3 - Convert into simplest Form. =9/2.
Step 4 - Writing as a mixed number.=4½.
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Example: Add 1¹/7 + 2²/3.
Solution:
Step 1 - Convert each fractions to improper fractions. =8/7 +8/3.
Step 2 - Take the LCM of denominators 7 and 3. The LCM is 21.
Step 3 - Add the Fractions using LCM. 80/21.
Step 4 - Writing as a mixed number. 3¹³/21.
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| Image by techgotest |
Subtraction of Mixed fractions with same denominators:
Example: Subtract 6³/7 - 2¹/7.
Solution:
Step 1 - convert each mixed fractions to improper fractions. =45/7 - 15/7.
Step 2 - Subtract the Numerators and keep denominator same. =30/7.
Step 3 - Writing as a mixed number.=4²/7.
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Subtracting From whole Numbers:
Example: Subtract 9 - 2³/8.
Solution:
Step 1 - Convert whole number intro fraction. Now we can write as
9/1 - 2³/8
Step 2 - Convert mixed fractions to improper fractions.
9/1 - 19/8
Step 3 - Find the LCM of denominators 1 and 8. The LCM is 8.
Step 4 - Subtract the Fractions. 53/8.
Step 5 - Convert into simplest form. 6⁵/8.
Find the image:
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| Image by techgotest |
