Add 42/75 and 24/45
42/75 + 24/45 is 82/75.
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,
42/75 = 42 × 3/75 × 3 = 126/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
24/45 = 24 × 5/45 × 5 = 120/225 - Add the two like fractions:
126/225 + 120/225 = 126 + 120/225 = 246/225 - 246/225 simplified gives 82/75
- So, 42/75 + 24/45 = 82/75
In mixed form: 17/75
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