Add 70/49 and 40/27
1st number: 1 21/49, 2nd number: 1 13/27
70/49 + 40/27 is 550/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
70/49 = 70 × 27/49 × 27 = 1890/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
40/27 = 40 × 49/27 × 49 = 1960/1323 - Add the two like fractions:
1890/1323 + 1960/1323 = 1890 + 1960/1323 = 3850/1323 - 3850/1323 simplified gives 550/189
- So, 70/49 + 40/27 = 550/189
In mixed form: 2172/189
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