Add 98/45 and 12/84
1st number: 2 8/45, 2nd number: 12/84
98/45 + 12/84 is 731/315.
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,
98/45 = 98 × 28/45 × 28 = 2744/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
12/84 = 12 × 15/84 × 15 = 180/1260 - Add the two like fractions:
2744/1260 + 180/1260 = 2744 + 180/1260 = 2924/1260 - 2924/1260 simplified gives 731/315
- So, 98/45 + 12/84 = 731/315
In mixed form: 2101/315
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