Add 14/4 and 30/35
1st number: 3 2/4, 2nd number: 30/35
14/4 + 30/35 is 61/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 4 × 35 = 140,
14/4 = 14 × 35/4 × 35 = 490/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
30/35 = 30 × 4/35 × 4 = 120/140 - Add the two like fractions:
490/140 + 120/140 = 490 + 120/140 = 610/140 - 610/140 simplified gives 61/14
- So, 14/4 + 30/35 = 61/14
In mixed form: 45/14
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