Add 35/49 and 40/30
1st number: 35/49, 2nd number: 1 10/30
35/49 + 40/30 is 43/21.
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,
40/30 = 40 × 49/30 × 49 = 1960/1470 - Add the two like fractions:
1050/1470 + 1960/1470 = 1050 + 1960/1470 = 3010/1470 - 3010/1470 simplified gives 43/21
- So, 35/49 + 40/30 = 43/21
In mixed form: 21/21
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