Add 21/75 and 42/49
21/75 + 42/49 is 199/175.
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,
21/75 = 21 × 49/75 × 49 = 1029/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
42/49 = 42 × 75/49 × 75 = 3150/3675 - Add the two like fractions:
1029/3675 + 3150/3675 = 1029 + 3150/3675 = 4179/3675 - 4179/3675 simplified gives 199/175
- So, 21/75 + 42/49 = 199/175
In mixed form: 124/175
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