Add 45/75 and 8/21
45/75 + 8/21 is 103/105.
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,
45/75 = 45 × 7/75 × 7 = 315/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
8/21 = 8 × 25/21 × 25 = 200/525 - Add the two like fractions:
315/525 + 200/525 = 315 + 200/525 = 515/525 - 515/525 simplified gives 103/105
- So, 45/75 + 8/21 = 103/105
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