Add 14/5 and 35/84
1st number: 2 4/5, 2nd number: 35/84
14/5 + 35/84 is 193/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
14/5 = 14 × 84/5 × 84 = 1176/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
35/84 = 35 × 5/84 × 5 = 175/420 - Add the two like fractions:
1176/420 + 175/420 = 1176 + 175/420 = 1351/420 - 1351/420 simplified gives 193/60
- So, 14/5 + 35/84 = 193/60
In mixed form: 313/60
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