Add and Subtract fractions using Butterfly Method

Shortcut method in adding or subtracting fractions.

1. ADDING & SUBTRACTING FRACTIONS Using BUTTERFLY METHOD

2. THE BUTTERFLY METHOD 1 . Cross multiply numerator and denominator. 2 . Then, Add/Subtract the results from cross multiply and that will be your numerator. 3 . Next, multiply your two denominators and the answer is your new denominator. 4 .  Reduce the resulting fraction if necessary .

3.     + EXAMPLE no.1:    

4.         28 21 20 x 21 + 20 28         Cross multiply numerators & denominators. Add the two results. Multiply their denominators. The product will be your new denominator. Further, simplify the fraction. Reduce if needed.

5.     + EXAMPLE no. 2:    

6.         27 24 36 x 24 + 36 27     Cross multiply numerators & denominators. Add the two results. Multiply their denominators. The product will be your new denominator. Further, simplify the fraction. Reduce if needed.   ÷     =  

7.     _ EXAMPLE no. 3:    

8.         40 35 16 x 35 - 16 40     Cross multiply numerators & denominators. SUBTRACT the two results. Multiply their denominators. The product will be your new denominator. Further, simplify the fraction. Reduce if needed.

9.     _ EXAMPLE no. 4:    

10.         48 36 20 x 36 - 20 48     Cross multiply numerators & denominators. SUBTRACT the two results. Multiply their denominators. The product will be your new denominator. Further, simplify the fraction. Reduce if needed.   ÷     =  

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