Add 30/16 and 40/9
1st number: 1 14/16, 2nd number: 4 4/9
30/16 + 40/9 is 455/72.
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,
30/16 = 30 × 9/16 × 9 = 270/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
40/9 = 40 × 16/9 × 16 = 640/144 - Add the two like fractions:
270/144 + 640/144 = 270 + 640/144 = 910/144 - 910/144 simplified gives 455/72
- So, 30/16 + 40/9 = 455/72
In mixed form: 623/72
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