Add 27/40 and 45/75
27/40 + 45/75 is 51/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
27/40 = 27 × 15/40 × 15 = 405/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
45/75 = 45 × 8/75 × 8 = 360/600 - Add the two like fractions:
405/600 + 360/600 = 405 + 360/600 = 765/600 - 765/600 simplified gives 51/40
- So, 27/40 + 45/75 = 51/40
In mixed form: 111/40
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