Add 70/84 and 30/75
70/84 + 30/75 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
70/84 = 70 × 25/84 × 25 = 1750/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
30/75 = 30 × 28/75 × 28 = 840/2100 - Add the two like fractions:
1750/2100 + 840/2100 = 1750 + 840/2100 = 2590/2100 - 2590/2100 simplified gives 37/30
- So, 70/84 + 30/75 = 37/30
In mixed form: 17/30
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