Add 49/21 and 75/8
1st number: 2 7/21, 2nd number: 9 3/8
49/21 + 75/8 is 281/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 8 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 21 × 8 = 168,
49/21 = 49 × 8/21 × 8 = 392/168 - Likewise, for the 2nd fraction, since 8 × 21 = 168,
75/8 = 75 × 21/8 × 21 = 1575/168 - Add the two like fractions:
392/168 + 1575/168 = 392 + 1575/168 = 1967/168 - 1967/168 simplified gives 281/24
- So, 49/21 + 75/8 = 281/24
In mixed form: 1117/24
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