Add 75/16 and 42/9
1st number: 4 11/16, 2nd number: 4 6/9
75/16 + 42/9 is 449/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
75/16 = 75 × 9/16 × 9 = 675/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
42/9 = 42 × 16/9 × 16 = 672/144 - Add the two like fractions:
675/144 + 672/144 = 675 + 672/144 = 1347/144 - 1347/144 simplified gives 449/48
- So, 75/16 + 42/9 = 449/48
In mixed form: 917/48
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