Add 30/35 and 75/7
1st number: 30/35, 2nd number: 10 5/7
30/35 + 75/7 is 81/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 35 × 1 = 35,
30/35 = 30 × 1/35 × 1 = 30/35 - Likewise, for the 2nd fraction, since 7 × 5 = 35,
75/7 = 75 × 5/7 × 5 = 375/35 - Add the two like fractions:
30/35 + 375/35 = 30 + 375/35 = 405/35 - 405/35 simplified gives 81/7
- So, 30/35 + 75/7 = 81/7
In mixed form: 114/7
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