Add 10/30 and 35/49
10/30 + 35/49 is 22/21.
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,
10/30 = 10 × 49/30 × 49 = 490/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
35/49 = 35 × 30/49 × 30 = 1050/1470 - Add the two like fractions:
490/1470 + 1050/1470 = 490 + 1050/1470 = 1540/1470 - 1540/1470 simplified gives 22/21
- So, 10/30 + 35/49 = 22/21
In mixed form: 11/21
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