Add 10/75 and 7/9
10/75 + 7/9 is 41/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
10/75 = 10 × 3/75 × 3 = 30/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
7/9 = 7 × 25/9 × 25 = 175/225 - Add the two like fractions:
30/225 + 175/225 = 30 + 175/225 = 205/225 - 205/225 simplified gives 41/45
- So, 10/75 + 7/9 = 41/45
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