Add 10/45 and 2/84
10/45 + 2/84 is 31/126.
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,
10/45 = 10 × 28/45 × 28 = 280/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
2/84 = 2 × 15/84 × 15 = 30/1260 - Add the two like fractions:
280/1260 + 30/1260 = 280 + 30/1260 = 310/1260 - 310/1260 simplified gives 31/126
- So, 10/45 + 2/84 = 31/126
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