Add 42/48 and 45/75
42/48 + 45/75 is 59/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 48 × 25 = 1200,
42/48 = 42 × 25/48 × 25 = 1050/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
45/75 = 45 × 16/75 × 16 = 720/1200 - Add the two like fractions:
1050/1200 + 720/1200 = 1050 + 720/1200 = 1770/1200 - 1770/1200 simplified gives 59/40
- So, 42/48 + 45/75 = 59/40
In mixed form: 119/40
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