Add 20/30 and 24/49
20/30 + 24/49 is 170/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
20/30 = 20 × 49/30 × 49 = 980/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
24/49 = 24 × 30/49 × 30 = 720/1470 - Add the two like fractions:
980/1470 + 720/1470 = 980 + 720/1470 = 1700/1470 - 1700/1470 simplified gives 170/147
- So, 20/30 + 24/49 = 170/147
In mixed form: 123/147
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