Add 42/75 and 75/49
1st number: 42/75, 2nd number: 1 26/49
42/75 + 75/49 is 2561/1225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
42/75 = 42 × 49/75 × 49 = 2058/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
75/49 = 75 × 75/49 × 75 = 5625/3675 - Add the two like fractions:
2058/3675 + 5625/3675 = 2058 + 5625/3675 = 7683/3675 - 7683/3675 simplified gives 2561/1225
- So, 42/75 + 75/49 = 2561/1225
In mixed form: 2111/1225
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