Add 45/75 and 30/14
1st number: 45/75, 2nd number: 2 2/14
45/75 + 30/14 is 96/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 14 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
45/75 = 45 × 14/75 × 14 = 630/1050 - Likewise, for the 2nd fraction, since 14 × 75 = 1050,
30/14 = 30 × 75/14 × 75 = 2250/1050 - Add the two like fractions:
630/1050 + 2250/1050 = 630 + 2250/1050 = 2880/1050 - 2880/1050 simplified gives 96/35
- So, 45/75 + 30/14 = 96/35
In mixed form: 226/35
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