Add 75/30 and 70/84
1st number: 2 15/30, 2nd number: 70/84
75/30 + 70/84 is 10/3.
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,
70/84 = 70 × 5/84 × 5 = 350/420 - Add the two like fractions:
1050/420 + 350/420 = 1050 + 350/420 = 1400/420 - 1400/420 simplified gives 10/3
- So, 75/30 + 70/84 = 10/3
In mixed form: 31/3
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