Add 30/84 and 16/45
30/84 + 16/45 is 449/630.
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,
16/45 = 16 × 28/45 × 28 = 448/1260 - Add the two like fractions:
450/1260 + 448/1260 = 450 + 448/1260 = 898/1260 - 898/1260 simplified gives 449/630
- So, 30/84 + 16/45 = 449/630
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