Add 21/75 and 40/54
21/75 + 40/54 is 689/675.
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,
21/75 = 21 × 18/75 × 18 = 378/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
40/54 = 40 × 25/54 × 25 = 1000/1350 - Add the two like fractions:
378/1350 + 1000/1350 = 378 + 1000/1350 = 1378/1350 - 1378/1350 simplified gives 689/675
- So, 21/75 + 40/54 = 689/675
In mixed form: 114/675
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