Add 28/30 and 90/42
1st number: 28/30, 2nd number: 2 6/42
28/30 + 90/42 is 323/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
28/30 = 28 × 7/30 × 7 = 196/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
90/42 = 90 × 5/42 × 5 = 450/210 - Add the two like fractions:
196/210 + 450/210 = 196 + 450/210 = 646/210 - 646/210 simplified gives 323/105
- So, 28/30 + 90/42 = 323/105
In mixed form: 38/105
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