Add 30/84 and 1/30
30/84 + 1/30 is 41/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
1/30 = 1 × 14/30 × 14 = 14/420 - Add the two like fractions:
150/420 + 14/420 = 150 + 14/420 = 164/420 - 164/420 simplified gives 41/105
- So, 30/84 + 1/30 = 41/105
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