Add 49/27 and 84/70
1st number: 1 22/27, 2nd number: 1 14/70
49/27 + 84/70 is 407/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 27 × 70 = 1890,
49/27 = 49 × 70/27 × 70 = 3430/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
84/70 = 84 × 27/70 × 27 = 2268/1890 - Add the two like fractions:
3430/1890 + 2268/1890 = 3430 + 2268/1890 = 5698/1890 - 5698/1890 simplified gives 407/135
- So, 49/27 + 84/70 = 407/135
In mixed form: 32/135
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