Add 27/28 and 12/45
27/28 + 12/45 is 517/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
27/28 = 27 × 45/28 × 45 = 1215/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
12/45 = 12 × 28/45 × 28 = 336/1260 - Add the two like fractions:
1215/1260 + 336/1260 = 1215 + 336/1260 = 1551/1260 - 1551/1260 simplified gives 517/420
- So, 27/28 + 12/45 = 517/420
In mixed form: 197/420
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