Add 30/84 and 35/45
30/84 + 35/45 is 143/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
30/84 = 30 × 15/84 × 15 = 450/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
35/45 = 35 × 28/45 × 28 = 980/1260 - Add the two like fractions:
450/1260 + 980/1260 = 450 + 980/1260 = 1430/1260 - 1430/1260 simplified gives 143/126
- So, 30/84 + 35/45 = 143/126
In mixed form: 117/126
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