Add 35/42 and 20/45
35/42 + 20/45 is 23/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
35/42 = 35 × 15/42 × 15 = 525/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
20/45 = 20 × 14/45 × 14 = 280/630 - Add the two like fractions:
525/630 + 280/630 = 525 + 280/630 = 805/630 - 805/630 simplified gives 23/18
- So, 35/42 + 20/45 = 23/18
In mixed form: 15/18
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