Add 14/30 and 40/28
1st number: 14/30, 2nd number: 1 12/28
14/30 + 40/28 is 199/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
14/30 = 14 × 14/30 × 14 = 196/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
40/28 = 40 × 15/28 × 15 = 600/420 - Add the two like fractions:
196/420 + 600/420 = 196 + 600/420 = 796/420 - 796/420 simplified gives 199/105
- So, 14/30 + 40/28 = 199/105
In mixed form: 194/105
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