Add 35/49 and 20/24
35/49 + 20/24 is 65/42.
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,
35/49 = 35 × 24/49 × 24 = 840/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
20/24 = 20 × 49/24 × 49 = 980/1176 - Add the two like fractions:
840/1176 + 980/1176 = 840 + 980/1176 = 1820/1176 - 1820/1176 simplified gives 65/42
- So, 35/49 + 20/24 = 65/42
In mixed form: 123/42
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