Add 80/84 and 30/45
80/84 + 30/45 is 34/21.
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,
80/84 = 80 × 15/84 × 15 = 1200/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
30/45 = 30 × 28/45 × 28 = 840/1260 - Add the two like fractions:
1200/1260 + 840/1260 = 1200 + 840/1260 = 2040/1260 - 2040/1260 simplified gives 34/21
- So, 80/84 + 30/45 = 34/21
In mixed form: 113/21
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