Add 35/42 and 80/90
35/42 + 80/90 is 31/18.
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,
35/42 = 35 × 15/42 × 15 = 525/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
80/90 = 80 × 7/90 × 7 = 560/630 - Add the two like fractions:
525/630 + 560/630 = 525 + 560/630 = 1085/630 - 1085/630 simplified gives 31/18
- So, 35/42 + 80/90 = 31/18
In mixed form: 113/18
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