Add 14/5 and 35/49
1st number: 2 4/5, 2nd number: 35/49
14/5 + 35/49 is 123/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 5 × 49 = 245,
14/5 = 14 × 49/5 × 49 = 686/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
35/49 = 35 × 5/49 × 5 = 175/245 - Add the two like fractions:
686/245 + 175/245 = 686 + 175/245 = 861/245 - 861/245 simplified gives 123/35
- So, 14/5 + 35/49 = 123/35
In mixed form: 318/35
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