Add 42/28 and 48/45
1st number: 1 14/28, 2nd number: 1 3/45
42/28 + 48/45 is 77/30.
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,
42/28 = 42 × 45/28 × 45 = 1890/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
48/45 = 48 × 28/45 × 28 = 1344/1260 - Add the two like fractions:
1890/1260 + 1344/1260 = 1890 + 1344/1260 = 3234/1260 - 3234/1260 simplified gives 77/30
- So, 42/28 + 48/45 = 77/30
In mixed form: 217/30
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