Add 21/49 and 40/60
21/49 + 40/60 is 23/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 60 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 49 × 60 = 2940,
21/49 = 21 × 60/49 × 60 = 1260/2940 - Likewise, for the 2nd fraction, since 60 × 49 = 2940,
40/60 = 40 × 49/60 × 49 = 1960/2940 - Add the two like fractions:
1260/2940 + 1960/2940 = 1260 + 1960/2940 = 3220/2940 - 3220/2940 simplified gives 23/21
- So, 21/49 + 40/60 = 23/21
In mixed form: 12/21
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