Add 98/21 and 40/27
1st number: 4 14/21, 2nd number: 1 13/27
98/21 + 40/27 is 166/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
98/21 = 98 × 9/21 × 9 = 882/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Add the two like fractions:
882/189 + 280/189 = 882 + 280/189 = 1162/189 - 1162/189 simplified gives 166/27
- So, 98/21 + 40/27 = 166/27
In mixed form: 64/27
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