Add 28/42 and 8/45
28/42 + 8/45 is 38/45.
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,
28/42 = 28 × 15/42 × 15 = 420/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
8/45 = 8 × 14/45 × 14 = 112/630 - Add the two like fractions:
420/630 + 112/630 = 420 + 112/630 = 532/630 - 532/630 simplified gives 38/45
- So, 28/42 + 8/45 = 38/45
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