Add 40/75 and 27/72
40/75 + 27/72 is 109/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 72 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 75 × 24 = 1800,
40/75 = 40 × 24/75 × 24 = 960/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
27/72 = 27 × 25/72 × 25 = 675/1800 - Add the two like fractions:
960/1800 + 675/1800 = 960 + 675/1800 = 1635/1800 - 1635/1800 simplified gives 109/120
- So, 40/75 + 27/72 = 109/120
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