Add 30/84 and 75/70
1st number: 30/84, 2nd number: 1 5/70
30/84 + 75/70 is 10/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
75/70 = 75 × 6/70 × 6 = 450/420 - Add the two like fractions:
150/420 + 450/420 = 150 + 450/420 = 600/420 - 600/420 simplified gives 10/7
- So, 30/84 + 75/70 = 10/7
In mixed form: 13/7
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