Add 49/27 and 84/40
1st number: 1 22/27, 2nd number: 2 4/40
49/27 + 84/40 is 1057/270.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
49/27 = 49 × 40/27 × 40 = 1960/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
84/40 = 84 × 27/40 × 27 = 2268/1080 - Add the two like fractions:
1960/1080 + 2268/1080 = 1960 + 2268/1080 = 4228/1080 - 4228/1080 simplified gives 1057/270
- So, 49/27 + 84/40 = 1057/270
In mixed form: 3247/270
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