Add 30/35 and 12/45
30/35 + 12/45 is 118/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 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 45 × 7 = 315,
12/45 = 12 × 7/45 × 7 = 84/315 - Add the two like fractions:
270/315 + 84/315 = 270 + 84/315 = 354/315 - 354/315 simplified gives 118/105
- So, 30/35 + 12/45 = 118/105
In mixed form: 113/105
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