Add 40/75 and 30/36
40/75 + 30/36 is 41/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 36 is 900
Next, find the equivalent fraction of both fractional numbers with denominator 900 - For the 1st fraction, since 75 × 12 = 900,
40/75 = 40 × 12/75 × 12 = 480/900 - Likewise, for the 2nd fraction, since 36 × 25 = 900,
30/36 = 30 × 25/36 × 25 = 750/900 - Add the two like fractions:
480/900 + 750/900 = 480 + 750/900 = 1230/900 - 1230/900 simplified gives 41/30
- So, 40/75 + 30/36 = 41/30
In mixed form: 111/30
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