Add 40/75 and 27/40
40/75 + 27/40 is 29/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
27/40 = 27 × 15/40 × 15 = 405/600 - Add the two like fractions:
320/600 + 405/600 = 320 + 405/600 = 725/600 - 725/600 simplified gives 29/24
- So, 40/75 + 27/40 = 29/24
In mixed form: 15/24
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