Add 24/35 and 21/49
24/35 + 21/49 is 39/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
24/35 = 24 × 7/35 × 7 = 168/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
21/49 = 21 × 5/49 × 5 = 105/245 - Add the two like fractions:
168/245 + 105/245 = 168 + 105/245 = 273/245 - 273/245 simplified gives 39/35
- So, 24/35 + 21/49 = 39/35
In mixed form: 14/35
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