Add 75/7 and 42/9
1st number: 10 5/7, 2nd number: 4 6/9
75/7 + 42/9 is 323/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 7 × 9 = 63,
75/7 = 75 × 9/7 × 9 = 675/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
42/9 = 42 × 7/9 × 7 = 294/63 - Add the two like fractions:
675/63 + 294/63 = 675 + 294/63 = 969/63 - 969/63 simplified gives 323/21
- So, 75/7 + 42/9 = 323/21
In mixed form: 158/21
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