Add 14/25 and 30/42
14/25 + 30/42 is 223/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 25 × 42 = 1050,
14/25 = 14 × 42/25 × 42 = 588/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
30/42 = 30 × 25/42 × 25 = 750/1050 - Add the two like fractions:
588/1050 + 750/1050 = 588 + 750/1050 = 1338/1050 - 1338/1050 simplified gives 223/175
- So, 14/25 + 30/42 = 223/175
In mixed form: 148/175
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