Add 36/40 and 9/14
36/40 + 9/14 is 54/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
36/40 = 36 × 7/40 × 7 = 252/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
9/14 = 9 × 20/14 × 20 = 180/280 - Add the two like fractions:
252/280 + 180/280 = 252 + 180/280 = 432/280 - 432/280 simplified gives 54/35
- So, 36/40 + 9/14 = 54/35
In mixed form: 119/35
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