Add 10/75 and 40/45
10/75 + 40/45 is 46/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 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 45 × 5 = 225,
40/45 = 40 × 5/45 × 5 = 200/225 - Add the two like fractions:
30/225 + 200/225 = 30 + 200/225 = 230/225 - 230/225 simplified gives 46/45
- So, 10/75 + 40/45 = 46/45
In mixed form: 11/45
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