Add 30/45 and 36/84
30/45 + 36/84 is 23/21.
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,
36/84 = 36 × 15/84 × 15 = 540/1260 - Add the two like fractions:
840/1260 + 540/1260 = 840 + 540/1260 = 1380/1260 - 1380/1260 simplified gives 23/21
- So, 30/45 + 36/84 = 23/21
In mixed form: 12/21
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