Add 12/45 and 45/42
1st number: 12/45, 2nd number: 1 3/42
12/45 + 45/42 is 281/210.
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,
12/45 = 12 × 14/45 × 14 = 168/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
45/42 = 45 × 15/42 × 15 = 675/630 - Add the two like fractions:
168/630 + 675/630 = 168 + 675/630 = 843/630 - 843/630 simplified gives 281/210
- So, 12/45 + 45/42 = 281/210
In mixed form: 171/210
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