Add 30/75 and 27/40
30/75 + 27/40 is 43/40.
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,
30/75 = 30 × 8/75 × 8 = 240/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
27/40 = 27 × 15/40 × 15 = 405/600 - Add the two like fractions:
240/600 + 405/600 = 240 + 405/600 = 645/600 - 645/600 simplified gives 43/40
- So, 30/75 + 27/40 = 43/40
In mixed form: 13/40
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