Add 30/84 and 45/75
30/84 + 45/75 is 67/70.
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,
30/84 = 30 × 25/84 × 25 = 750/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
45/75 = 45 × 28/75 × 28 = 1260/2100 - Add the two like fractions:
750/2100 + 1260/2100 = 750 + 1260/2100 = 2010/2100 - 2010/2100 simplified gives 67/70
- So, 30/84 + 45/75 = 67/70
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