Add 40/75 and 14/18
40/75 + 14/18 is 59/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
40/75 = 40 × 6/75 × 6 = 240/450 - Likewise, for the 2nd fraction, since 18 × 25 = 450,
14/18 = 14 × 25/18 × 25 = 350/450 - Add the two like fractions:
240/450 + 350/450 = 240 + 350/450 = 590/450 - 590/450 simplified gives 59/45
- So, 40/75 + 14/18 = 59/45
In mixed form: 114/45
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