Add 30/84 and 70/75
30/84 + 70/75 is 271/210.
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,
70/75 = 70 × 28/75 × 28 = 1960/2100 - Add the two like fractions:
750/2100 + 1960/2100 = 750 + 1960/2100 = 2710/2100 - 2710/2100 simplified gives 271/210
- So, 30/84 + 70/75 = 271/210
In mixed form: 161/210
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