Add 27/84 and 48/45
1st number: 27/84, 2nd number: 1 3/45
27/84 + 48/45 is 583/420.
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,
27/84 = 27 × 15/84 × 15 = 405/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
48/45 = 48 × 28/45 × 28 = 1344/1260 - Add the two like fractions:
405/1260 + 1344/1260 = 405 + 1344/1260 = 1749/1260 - 1749/1260 simplified gives 583/420
- So, 27/84 + 48/45 = 583/420
In mixed form: 1163/420
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