Add 30/45 and 20/42
30/45 + 20/42 is 8/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
30/45 = 30 × 14/45 × 14 = 420/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
20/42 = 20 × 15/42 × 15 = 300/630 - Add the two like fractions:
420/630 + 300/630 = 420 + 300/630 = 720/630 - 720/630 simplified gives 8/7
- So, 30/45 + 20/42 = 8/7
In mixed form: 11/7
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