Add 42/90 and 56/21
1st number: 42/90, 2nd number: 2 14/21
42/90 + 56/21 is 47/15.
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,
56/21 = 56 × 30/21 × 30 = 1680/630 - Add the two like fractions:
294/630 + 1680/630 = 294 + 1680/630 = 1974/630 - 1974/630 simplified gives 47/15
- So, 42/90 + 56/21 = 47/15
In mixed form: 32/15
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