Add 84/5 and 14/49
1st number: 16 4/5, 2nd number: 14/49
84/5 + 14/49 is 598/35.
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,
84/5 = 84 × 49/5 × 49 = 4116/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
14/49 = 14 × 5/49 × 5 = 70/245 - Add the two like fractions:
4116/245 + 70/245 = 4116 + 70/245 = 4186/245 - 4186/245 simplified gives 598/35
- So, 84/5 + 14/49 = 598/35
In mixed form: 173/35
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