Add 40/90 and 9/16
40/90 + 9/16 is 145/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 16 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 90 × 8 = 720,
40/90 = 40 × 8/90 × 8 = 320/720 - Likewise, for the 2nd fraction, since 16 × 45 = 720,
9/16 = 9 × 45/16 × 45 = 405/720 - Add the two like fractions:
320/720 + 405/720 = 320 + 405/720 = 725/720 - 725/720 simplified gives 145/144
- So, 40/90 + 9/16 = 145/144
In mixed form: 11/144
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