Add 40/60 and 35/49
40/60 + 35/49 is 29/21.
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,
40/60 = 40 × 49/60 × 49 = 1960/2940 - Likewise, for the 2nd fraction, since 49 × 60 = 2940,
35/49 = 35 × 60/49 × 60 = 2100/2940 - Add the two like fractions:
1960/2940 + 2100/2940 = 1960 + 2100/2940 = 4060/2940 - 4060/2940 simplified gives 29/21
- So, 40/60 + 35/49 = 29/21
In mixed form: 18/21
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