Add 75/84 and 9/15
75/84 + 9/15 is 209/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 15 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Likewise, for the 2nd fraction, since 15 × 28 = 420,
9/15 = 9 × 28/15 × 28 = 252/420 - Add the two like fractions:
375/420 + 252/420 = 375 + 252/420 = 627/420 - 627/420 simplified gives 209/140
- So, 75/84 + 9/15 = 209/140
In mixed form: 169/140
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