Add 10/45 and 30/75
10/45 + 30/75 is 28/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 45 × 5 = 225,
10/45 = 10 × 5/45 × 5 = 50/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
30/75 = 30 × 3/75 × 3 = 90/225 - Add the two like fractions:
50/225 + 90/225 = 50 + 90/225 = 140/225 - 140/225 simplified gives 28/45
- So, 10/45 + 30/75 = 28/45
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