Add 45/60 and 32/49
45/60 + 32/49 is 275/196.
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,
32/49 = 32 × 60/49 × 60 = 1920/2940 - Add the two like fractions:
2205/2940 + 1920/2940 = 2205 + 1920/2940 = 4125/2940 - 4125/2940 simplified gives 275/196
- So, 45/60 + 32/49 = 275/196
In mixed form: 179/196
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