Add 36/42 and 27/36
36/42 + 27/36 is 45/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 42 × 6 = 252,
36/42 = 36 × 6/42 × 6 = 216/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
27/36 = 27 × 7/36 × 7 = 189/252 - Add the two like fractions:
216/252 + 189/252 = 216 + 189/252 = 405/252 - 405/252 simplified gives 45/28
- So, 36/42 + 27/36 = 45/28
In mixed form: 117/28
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