Add 75/9 and 42/21
1st number: 8 3/9, 2nd number: 2 0/21
75/9 + 42/21 is 31/3.
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,
75/9 = 75 × 7/9 × 7 = 525/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
42/21 = 42 × 3/21 × 3 = 126/63 - Add the two like fractions:
525/63 + 126/63 = 525 + 126/63 = 651/63 - 651/63 simplified gives 31/3
- So, 75/9 + 42/21 = 31/3
In mixed form: 101/3
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