Add 30/14 and 40/75
1st number: 2 2/14, 2nd number: 40/75
30/14 + 40/75 is 281/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 14 × 75 = 1050,
30/14 = 30 × 75/14 × 75 = 2250/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Add the two like fractions:
2250/1050 + 560/1050 = 2250 + 560/1050 = 2810/1050 - 2810/1050 simplified gives 281/105
- So, 30/14 + 40/75 = 281/105
In mixed form: 271/105
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