Add 42/90 and 75/21
1st number: 42/90, 2nd number: 3 12/21
42/90 + 75/21 is 424/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 21 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,
42/90 = 42 × 7/90 × 7 = 294/630 - Likewise, for the 2nd fraction, since 21 × 30 = 630,
75/21 = 75 × 30/21 × 30 = 2250/630 - Add the two like fractions:
294/630 + 2250/630 = 294 + 2250/630 = 2544/630 - 2544/630 simplified gives 424/105
- So, 42/90 + 75/21 = 424/105
In mixed form: 44/105
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