Add 20/42 and 28/45
20/42 + 28/45 is 346/315.
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,
20/42 = 20 × 15/42 × 15 = 300/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
28/45 = 28 × 14/45 × 14 = 392/630 - Add the two like fractions:
300/630 + 392/630 = 300 + 392/630 = 692/630 - 692/630 simplified gives 346/315
- So, 20/42 + 28/45 = 346/315
In mixed form: 131/315
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