Add 30/10 and 7/84
1st number: 3 0/10, 2nd number: 7/84
30/10 + 7/84 is 37/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
30/10 = 30 × 42/10 × 42 = 1260/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
7/84 = 7 × 5/84 × 5 = 35/420 - Add the two like fractions:
1260/420 + 35/420 = 1260 + 35/420 = 1295/420 - 1295/420 simplified gives 37/12
- So, 30/10 + 7/84 = 37/12
In mixed form: 31/12
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