Add 14/49 and 21/24
14/49 + 21/24 is 65/56.
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,
14/49 = 14 × 24/49 × 24 = 336/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
21/24 = 21 × 49/24 × 49 = 1029/1176 - Add the two like fractions:
336/1176 + 1029/1176 = 336 + 1029/1176 = 1365/1176 - 1365/1176 simplified gives 65/56
- So, 14/49 + 21/24 = 65/56
In mixed form: 19/56
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