Addition and subtraction of fractions:
We have allready learnt about like fractions and unlike fractions in previous blog.
There are two types of fractions-
- Fractions with the same denominator(like fractions).
- Fractions without same denominators (unlike fractions).
Addition of like fractions:
When we add fractions with the same denominator, we just add the Numerators and keep the denominator same.
Example: ³/5 + ⁴/5.
Solution:
Step 1 - in this example we find that denominators are same.
Step 2 - Add the Numerator 3 + 4 =7, and keep the denominator same 5.
Step 3 - So we can write the addition of fraction ⁷/5.
⁷/5= 1 and ²/5.
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Addition of unlike fractions:
Addition of unlike fractions by using LCM.
Example: ³/4 + ⁶/5.
Solution:
Step 1 - find the LCM of denominators 4 and 5, LCM= 20.
Step 2 - devide the LCM 20 by the denominator of the first fraction, 20÷4=5. Multiply quotient 5 by Numerator 3, 5×3 =15.
Step 3 - devide the LCM 20 by the denominator of the second fraction, 20÷5=4. multiply quotient 4 by Numerator 6, 6×4=24.
Step 4 - add the value of both steps 2 and 3, 15+24=39. And keep the denominator 20(LCM).
Step 5 - the solution is 39/20 = 1 and 19/20.
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Subtraction of like fractions:
When we subtract fractions with the same denominator, we just subtract the Numerators and keep the denominator same.
Example: ⁶/13 - ⁴/13.
Solution:
Step 1 - in this example we find that denominators are same.
Step 2 - Subtract the Numerator 6-4 =2, and keep the denominator same 13.
Step 3 - So we can write the subtraction of fraction ²/13.
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Subtraction of unlike fractions:
Subtraction of unlike fraction by using LCM
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Example: ⁶/5 - ³/4
Solution:
Step 1 - find the LCM of denominators 5 and 4, LCM= 20.
Step 2 - devide the LCM 20 by the denominator of the first fraction, 20÷5=4. Multiply quotient 4 by Numerator 6, 6×4 =24.
Step 3 - devide the LCM 20 by the denominator of the second fraction, 20÷4=5. multiply quotient 5 by Numerator 3, 5×3=15.
Step 4 - subtract the value of both steps 2 and 3, 24-15=9, And keep the denominator 20(LCM).
Step 5 - the solution is 9/20.
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| Image by techgotest |
