Add 4/24 and 28/49
4/24 + 28/49 is 31/42.
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,
4/24 = 4 × 49/24 × 49 = 196/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
28/49 = 28 × 24/49 × 24 = 672/1176 - Add the two like fractions:
196/1176 + 672/1176 = 196 + 672/1176 = 868/1176 - 868/1176 simplified gives 31/42
- So, 4/24 + 28/49 = 31/42
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