Add 40/75 and 14/16
40/75 + 14/16 is 169/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
40/75 = 40 × 16/75 × 16 = 640/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
14/16 = 14 × 75/16 × 75 = 1050/1200 - Add the two like fractions:
640/1200 + 1050/1200 = 640 + 1050/1200 = 1690/1200 - 1690/1200 simplified gives 169/120
- So, 40/75 + 14/16 = 169/120
In mixed form: 149/120
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