Add 40/9 and 42/16
1st number: 4 4/9, 2nd number: 2 10/16
40/9 + 42/16 is 509/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
40/9 = 40 × 16/9 × 16 = 640/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
42/16 = 42 × 9/16 × 9 = 378/144 - Add the two like fractions:
640/144 + 378/144 = 640 + 378/144 = 1018/144 - 1018/144 simplified gives 509/72
- So, 40/9 + 42/16 = 509/72
In mixed form: 75/72
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