Add 40/75 and 30/54
40/75 + 30/54 is 49/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 75 × 18 = 1350,
40/75 = 40 × 18/75 × 18 = 720/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
30/54 = 30 × 25/54 × 25 = 750/1350 - Add the two like fractions:
720/1350 + 750/1350 = 720 + 750/1350 = 1470/1350 - 1470/1350 simplified gives 49/45
- So, 40/75 + 30/54 = 49/45
In mixed form: 14/45
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