Add 28/30 and 18/42
28/30 + 18/42 is 143/105.
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,
18/42 = 18 × 5/42 × 5 = 90/210 - Add the two like fractions:
196/210 + 90/210 = 196 + 90/210 = 286/210 - 286/210 simplified gives 143/105
- So, 28/30 + 18/42 = 143/105
In mixed form: 138/105
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