Add 40/21 and 75/54
1st number: 1 19/21, 2nd number: 1 21/54
40/21 + 75/54 is 415/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 21 × 18 = 378,
40/21 = 40 × 18/21 × 18 = 720/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
75/54 = 75 × 7/54 × 7 = 525/378 - Add the two like fractions:
720/378 + 525/378 = 720 + 525/378 = 1245/378 - 1245/378 simplified gives 415/126
- So, 40/21 + 75/54 = 415/126
In mixed form: 337/126
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