Add 45/60 and 64/49
1st number: 45/60, 2nd number: 1 15/49
45/60 + 64/49 is 403/196.
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,
45/60 = 45 × 49/60 × 49 = 2205/2940 - Likewise, for the 2nd fraction, since 49 × 60 = 2940,
64/49 = 64 × 60/49 × 60 = 3840/2940 - Add the two like fractions:
2205/2940 + 3840/2940 = 2205 + 3840/2940 = 6045/2940 - 6045/2940 simplified gives 403/196
- So, 45/60 + 64/49 = 403/196
In mixed form: 211/196
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