Add 10/45 and 40/75
10/45 + 40/75 is 34/45.
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,
40/75 = 40 × 3/75 × 3 = 120/225 - Add the two like fractions:
50/225 + 120/225 = 50 + 120/225 = 170/225 - 170/225 simplified gives 34/45
- So, 10/45 + 40/75 = 34/45
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