Add 48/45 and 49/84
1st number: 1 3/45, 2nd number: 49/84
48/45 + 49/84 is 33/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
48/45 = 48 × 28/45 × 28 = 1344/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
49/84 = 49 × 15/84 × 15 = 735/1260 - Add the two like fractions:
1344/1260 + 735/1260 = 1344 + 735/1260 = 2079/1260 - 2079/1260 simplified gives 33/20
- So, 48/45 + 49/84 = 33/20
In mixed form: 113/20
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