Add 21/45 and 8/84
21/45 + 8/84 is 59/105.
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,
21/45 = 21 × 28/45 × 28 = 588/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
8/84 = 8 × 15/84 × 15 = 120/1260 - Add the two like fractions:
588/1260 + 120/1260 = 588 + 120/1260 = 708/1260 - 708/1260 simplified gives 59/105
- So, 21/45 + 8/84 = 59/105
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