Add 42/30 and 75/42
1st number: 1 12/30, 2nd number: 1 33/42
42/30 + 75/42 is 223/70.
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,
42/30 = 42 × 7/30 × 7 = 294/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
75/42 = 75 × 5/42 × 5 = 375/210 - Add the two like fractions:
294/210 + 375/210 = 294 + 375/210 = 669/210 - 669/210 simplified gives 223/70
- So, 42/30 + 75/42 = 223/70
In mixed form: 313/70
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