Add 7/24 and 42/49
7/24 + 42/49 is 193/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 49 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 24 × 49 = 1176,
7/24 = 7 × 49/24 × 49 = 343/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
42/49 = 42 × 24/49 × 24 = 1008/1176 - Add the two like fractions:
343/1176 + 1008/1176 = 343 + 1008/1176 = 1351/1176 - 1351/1176 simplified gives 193/168
- So, 7/24 + 42/49 = 193/168
In mixed form: 125/168
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