Add 49/75 and 63/84
49/75 + 63/84 is 421/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
49/75 = 49 × 28/75 × 28 = 1372/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
63/84 = 63 × 25/84 × 25 = 1575/2100 - Add the two like fractions:
1372/2100 + 1575/2100 = 1372 + 1575/2100 = 2947/2100 - 2947/2100 simplified gives 421/300
- So, 49/75 + 63/84 = 421/300
In mixed form: 1121/300
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