Add 20/45 and 42/35
1st number: 20/45, 2nd number: 1 7/35
20/45 + 42/35 is 74/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
20/45 = 20 × 7/45 × 7 = 140/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
42/35 = 42 × 9/35 × 9 = 378/315 - Add the two like fractions:
140/315 + 378/315 = 140 + 378/315 = 518/315 - 518/315 simplified gives 74/45
- So, 20/45 + 42/35 = 74/45
In mixed form: 129/45
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