Add 64/35 and 21/49
1st number: 1 29/35, 2nd number: 21/49
64/35 + 21/49 is 79/35.
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,
64/35 = 64 × 7/35 × 7 = 448/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
21/49 = 21 × 5/49 × 5 = 105/245 - Add the two like fractions:
448/245 + 105/245 = 448 + 105/245 = 553/245 - 553/245 simplified gives 79/35
- So, 64/35 + 21/49 = 79/35
In mixed form: 29/35
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