Add 25/30 and 35/49
25/30 + 35/49 is 65/42.
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,
25/30 = 25 × 49/30 × 49 = 1225/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
35/49 = 35 × 30/49 × 30 = 1050/1470 - Add the two like fractions:
1225/1470 + 1050/1470 = 1225 + 1050/1470 = 2275/1470 - 2275/1470 simplified gives 65/42
- So, 25/30 + 35/49 = 65/42
In mixed form: 123/42
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