Add 14/5 and 30/49
1st number: 2 4/5, 2nd number: 30/49
14/5 + 30/49 is 836/245.
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,
30/49 = 30 × 5/49 × 5 = 150/245 - Add the two like fractions:
686/245 + 150/245 = 686 + 150/245 = 836/245 - So, 14/5 + 30/49 = 836/245
In mixed form: 3101/245
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