Add 75/30 and 30/84
1st number: 2 15/30, 2nd number: 30/84
75/30 + 30/84 is 20/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
75/30 = 75 × 14/30 × 14 = 1050/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Add the two like fractions:
1050/420 + 150/420 = 1050 + 150/420 = 1200/420 - 1200/420 simplified gives 20/7
- So, 75/30 + 30/84 = 20/7
In mixed form: 26/7
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