Add 10/9 and 42/21
1st number: 1 1/9, 2nd number: 2 0/21
10/9 + 42/21 is 28/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
10/9 = 10 × 7/9 × 7 = 70/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
42/21 = 42 × 3/21 × 3 = 126/63 - Add the two like fractions:
70/63 + 126/63 = 70 + 126/63 = 196/63 - 196/63 simplified gives 28/9
- So, 10/9 + 42/21 = 28/9
In mixed form: 31/9
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