Add 40/49 and 45/60
40/49 + 45/60 is 307/196.
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,
40/49 = 40 × 60/49 × 60 = 2400/2940 - Likewise, for the 2nd fraction, since 60 × 49 = 2940,
45/60 = 45 × 49/60 × 49 = 2205/2940 - Add the two like fractions:
2400/2940 + 2205/2940 = 2400 + 2205/2940 = 4605/2940 - 4605/2940 simplified gives 307/196
- So, 40/49 + 45/60 = 307/196
In mixed form: 1111/196
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