Add 12/84 and 54/45
1st number: 12/84, 2nd number: 1 9/45
12/84 + 54/45 is 47/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
12/84 = 12 × 15/84 × 15 = 180/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
54/45 = 54 × 28/45 × 28 = 1512/1260 - Add the two like fractions:
180/1260 + 1512/1260 = 180 + 1512/1260 = 1692/1260 - 1692/1260 simplified gives 47/35
- So, 12/84 + 54/45 = 47/35
In mixed form: 112/35
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