Add 10/75 and 70/84
10/75 + 70/84 is 29/30.
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,
10/75 = 10 × 28/75 × 28 = 280/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
70/84 = 70 × 25/84 × 25 = 1750/2100 - Add the two like fractions:
280/2100 + 1750/2100 = 280 + 1750/2100 = 2030/2100 - 2030/2100 simplified gives 29/30
- So, 10/75 + 70/84 = 29/30
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