Add 30/75 and 56/84
30/75 + 56/84 is 16/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
30/75 = 30 × 28/75 × 28 = 840/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
56/84 = 56 × 25/84 × 25 = 1400/2100 - Add the two like fractions:
840/2100 + 1400/2100 = 840 + 1400/2100 = 2240/2100 - 2240/2100 simplified gives 16/15
- So, 30/75 + 56/84 = 16/15
In mixed form: 11/15
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