Add 30/42 and 24/90
30/42 + 24/90 is 103/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 90 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 90 × 7 = 630,
24/90 = 24 × 7/90 × 7 = 168/630 - Add the two like fractions:
450/630 + 168/630 = 450 + 168/630 = 618/630 - 618/630 simplified gives 103/105
- So, 30/42 + 24/90 = 103/105
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