Add 42/75 and 9/21
42/75 + 9/21 is 173/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
42/75 = 42 × 7/75 × 7 = 294/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
9/21 = 9 × 25/21 × 25 = 225/525 - Add the two like fractions:
294/525 + 225/525 = 294 + 225/525 = 519/525 - 519/525 simplified gives 173/175
- So, 42/75 + 9/21 = 173/175
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