Add 49/4 and 27/45
1st number: 12 1/4, 2nd number: 27/45
49/4 + 27/45 is 257/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 4 × 45 = 180,
49/4 = 49 × 45/4 × 45 = 2205/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
27/45 = 27 × 4/45 × 4 = 108/180 - Add the two like fractions:
2205/180 + 108/180 = 2205 + 108/180 = 2313/180 - 2313/180 simplified gives 257/20
- So, 49/4 + 27/45 = 257/20
In mixed form: 1217/20
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