Add 54/75 and 21/49
54/75 + 21/49 is 201/175.
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,
54/75 = 54 × 49/75 × 49 = 2646/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
21/49 = 21 × 75/49 × 75 = 1575/3675 - Add the two like fractions:
2646/3675 + 1575/3675 = 2646 + 1575/3675 = 4221/3675 - 4221/3675 simplified gives 201/175
- So, 54/75 + 21/49 = 201/175
In mixed form: 126/175
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