Add 8/7 and 42/45
1st number: 1 1/7, 2nd number: 42/45
8/7 + 42/45 is 218/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
8/7 = 8 × 45/7 × 45 = 360/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
360/315 + 294/315 = 360 + 294/315 = 654/315 - 654/315 simplified gives 218/105
- So, 8/7 + 42/45 = 218/105
In mixed form: 28/105
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