Add 30/35 and 42/9
1st number: 30/35, 2nd number: 4 6/9
30/35 + 42/9 is 116/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
30/35 = 30 × 9/35 × 9 = 270/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
42/9 = 42 × 35/9 × 35 = 1470/315 - Add the two like fractions:
270/315 + 1470/315 = 270 + 1470/315 = 1740/315 - 1740/315 simplified gives 116/21
- So, 30/35 + 42/9 = 116/21
In mixed form: 511/21
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