Add 8/35 and 42/45
8/35 + 42/45 is 122/105.
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,
8/35 = 8 × 9/35 × 9 = 72/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
72/315 + 294/315 = 72 + 294/315 = 366/315 - 366/315 simplified gives 122/105
- So, 8/35 + 42/45 = 122/105
In mixed form: 117/105
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