Add 45/75 and 10/21
45/75 + 10/21 is 113/105.
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,
10/21 = 10 × 25/21 × 25 = 250/525 - Add the two like fractions:
315/525 + 250/525 = 315 + 250/525 = 565/525 - 565/525 simplified gives 113/105
- So, 45/75 + 10/21 = 113/105
In mixed form: 18/105
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