Add 9/84 and 70/75
9/84 + 70/75 is 437/420.
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,
9/84 = 9 × 25/84 × 25 = 225/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
70/75 = 70 × 28/75 × 28 = 1960/2100 - Add the two like fractions:
225/2100 + 1960/2100 = 225 + 1960/2100 = 2185/2100 - 2185/2100 simplified gives 437/420
- So, 9/84 + 70/75 = 437/420
In mixed form: 117/420
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