Add 4/49 and 21/24
4/49 + 21/24 is 375/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 24 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 49 × 24 = 1176,
4/49 = 4 × 24/49 × 24 = 96/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
21/24 = 21 × 49/24 × 49 = 1029/1176 - Add the two like fractions:
96/1176 + 1029/1176 = 96 + 1029/1176 = 1125/1176 - 1125/1176 simplified gives 375/392
- So, 4/49 + 21/24 = 375/392
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