Add 3/45 and 20/84
3/45 + 20/84 is 32/105.
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,
3/45 = 3 × 28/45 × 28 = 84/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
20/84 = 20 × 15/84 × 15 = 300/1260 - Add the two like fractions:
84/1260 + 300/1260 = 84 + 300/1260 = 384/1260 - 384/1260 simplified gives 32/105
- So, 3/45 + 20/84 = 32/105
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