Add 20/84 and 98/45
1st number: 20/84, 2nd number: 2 8/45
20/84 + 98/45 is 761/315.
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,
20/84 = 20 × 15/84 × 15 = 300/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
98/45 = 98 × 28/45 × 28 = 2744/1260 - Add the two like fractions:
300/1260 + 2744/1260 = 300 + 2744/1260 = 3044/1260 - 3044/1260 simplified gives 761/315
- So, 20/84 + 98/45 = 761/315
In mixed form: 2131/315
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