Add 20/30 and 45/84
20/30 + 45/84 is 101/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
20/30 = 20 × 14/30 × 14 = 280/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
280/420 + 225/420 = 280 + 225/420 = 505/420 - 505/420 simplified gives 101/84
- So, 20/30 + 45/84 = 101/84
In mixed form: 117/84
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