Add 10/75 and 9/35
10/75 + 9/35 is 41/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
10/75 = 10 × 7/75 × 7 = 70/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
9/35 = 9 × 15/35 × 15 = 135/525 - Add the two like fractions:
70/525 + 135/525 = 70 + 135/525 = 205/525 - 205/525 simplified gives 41/105
- So, 10/75 + 9/35 = 41/105
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