Add 49/75 and 8/21
49/75 + 8/21 is 181/175.
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,
49/75 = 49 × 7/75 × 7 = 343/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
8/21 = 8 × 25/21 × 25 = 200/525 - Add the two like fractions:
343/525 + 200/525 = 343 + 200/525 = 543/525 - 543/525 simplified gives 181/175
- So, 49/75 + 8/21 = 181/175
In mixed form: 16/175
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