Add 35/49 and 20/30
35/49 + 20/30 is 29/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
35/49 = 35 × 30/49 × 30 = 1050/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
20/30 = 20 × 49/30 × 49 = 980/1470 - Add the two like fractions:
1050/1470 + 980/1470 = 1050 + 980/1470 = 2030/1470 - 2030/1470 simplified gives 29/21
- So, 35/49 + 20/30 = 29/21
In mixed form: 18/21
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