Add 35/60 and 40/49
35/60 + 40/49 is 823/588.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 49 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 60 × 49 = 2940,
35/60 = 35 × 49/60 × 49 = 1715/2940 - Likewise, for the 2nd fraction, since 49 × 60 = 2940,
40/49 = 40 × 60/49 × 60 = 2400/2940 - Add the two like fractions:
1715/2940 + 2400/2940 = 1715 + 2400/2940 = 4115/2940 - 4115/2940 simplified gives 823/588
- So, 35/60 + 40/49 = 823/588
In mixed form: 1235/588
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