Add 36/9 and 10/84
1st number: 4 0/9, 2nd number: 10/84
36/9 + 10/84 is 173/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
36/9 = 36 × 28/9 × 28 = 1008/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
10/84 = 10 × 3/84 × 3 = 30/252 - Add the two like fractions:
1008/252 + 30/252 = 1008 + 30/252 = 1038/252 - 1038/252 simplified gives 173/42
- So, 36/9 + 10/84 = 173/42
In mixed form: 45/42
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