Add 36/84 and 54/90
36/84 + 54/90 is 36/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
36/84 = 36 × 15/84 × 15 = 540/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
54/90 = 54 × 14/90 × 14 = 756/1260 - Add the two like fractions:
540/1260 + 756/1260 = 540 + 756/1260 = 1296/1260 - 1296/1260 simplified gives 36/35
- So, 36/84 + 54/90 = 36/35
In mixed form: 11/35
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