Add 35/25 and 30/49
1st number: 1 10/25, 2nd number: 30/49
35/25 + 30/49 is 493/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225
Next, find the equivalent fraction of both fractional numbers with denominator 1225 - For the 1st fraction, since 25 × 49 = 1225,
35/25 = 35 × 49/25 × 49 = 1715/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
30/49 = 30 × 25/49 × 25 = 750/1225 - Add the two like fractions:
1715/1225 + 750/1225 = 1715 + 750/1225 = 2465/1225 - 2465/1225 simplified gives 493/245
- So, 35/25 + 30/49 = 493/245
In mixed form: 23/245
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