Add 30/14 and 12/40
1st number: 2 2/14, 2nd number: 12/40
30/14 + 12/40 is 171/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
30/14 = 30 × 20/14 × 20 = 600/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
12/40 = 12 × 7/40 × 7 = 84/280 - Add the two like fractions:
600/280 + 84/280 = 600 + 84/280 = 684/280 - 684/280 simplified gives 171/70
- So, 30/14 + 12/40 = 171/70
In mixed form: 231/70
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