Add 49/9 and 40/45
1st number: 5 4/9, 2nd number: 40/45
49/9 + 40/45 is 19/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 45 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 9 × 5 = 45,
49/9 = 49 × 5/9 × 5 = 245/45 - Likewise, for the 2nd fraction, since 45 × 1 = 45,
40/45 = 40 × 1/45 × 1 = 40/45 - Add the two like fractions:
245/45 + 40/45 = 245 + 40/45 = 285/45 - 285/45 simplified gives 19/3
- So, 49/9 + 40/45 = 19/3
In mixed form: 61/3
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