Add 49/21 and 40/42
1st number: 2 7/21, 2nd number: 40/42
49/21 + 40/42 is 23/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
49/21 = 49 × 2/21 × 2 = 98/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
40/42 = 40 × 1/42 × 1 = 40/42 - Add the two like fractions:
98/42 + 40/42 = 98 + 40/42 = 138/42 - 138/42 simplified gives 23/7
- So, 49/21 + 40/42 = 23/7
In mixed form: 32/7
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