Add 30/45 and 60/84
30/45 + 60/84 is 29/21.
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,
30/45 = 30 × 28/45 × 28 = 840/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
60/84 = 60 × 15/84 × 15 = 900/1260 - Add the two like fractions:
840/1260 + 900/1260 = 840 + 900/1260 = 1740/1260 - 1740/1260 simplified gives 29/21
- So, 30/45 + 60/84 = 29/21
In mixed form: 18/21
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