Add 7/10 and 30/84
7/10 + 30/84 is 37/35.
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,
7/10 = 7 × 42/10 × 42 = 294/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Add the two like fractions:
294/420 + 150/420 = 294 + 150/420 = 444/420 - 444/420 simplified gives 37/35
- So, 7/10 + 30/84 = 37/35
In mixed form: 12/35
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