Add 9/16 and 40/45
9/16 + 40/45 is 209/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 45 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 16 × 45 = 720,
9/16 = 9 × 45/16 × 45 = 405/720 - Likewise, for the 2nd fraction, since 45 × 16 = 720,
40/45 = 40 × 16/45 × 16 = 640/720 - Add the two like fractions:
405/720 + 640/720 = 405 + 640/720 = 1045/720 - 1045/720 simplified gives 209/144
- So, 9/16 + 40/45 = 209/144
In mixed form: 165/144
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