Add 30/42 and 42/45
30/42 + 42/45 is 173/105.
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,
30/42 = 30 × 15/42 × 15 = 450/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
42/45 = 42 × 14/45 × 14 = 588/630 - Add the two like fractions:
450/630 + 588/630 = 450 + 588/630 = 1038/630 - 1038/630 simplified gives 173/105
- So, 30/42 + 42/45 = 173/105
In mixed form: 168/105
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