Add 42/5 and 35/42
1st number: 8 2/5, 2nd number: 35/42
42/5 + 35/42 is 277/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
42/5 = 42 × 42/5 × 42 = 1764/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Add the two like fractions:
1764/210 + 175/210 = 1764 + 175/210 = 1939/210 - 1939/210 simplified gives 277/30
- So, 42/5 + 35/42 = 277/30
In mixed form: 97/30
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