Add 28/30 and 45/84
28/30 + 45/84 is 617/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
28/30 = 28 × 14/30 × 14 = 392/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
392/420 + 225/420 = 392 + 225/420 = 617/420 - So, 28/30 + 45/84 = 617/420
In mixed form: 1197/420
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