Add 75/30 and 24/42
1st number: 2 15/30, 2nd number: 24/42
75/30 + 24/42 is 43/14.
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,
75/30 = 75 × 7/30 × 7 = 525/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
24/42 = 24 × 5/42 × 5 = 120/210 - Add the two like fractions:
525/210 + 120/210 = 525 + 120/210 = 645/210 - 645/210 simplified gives 43/14
- So, 75/30 + 24/42 = 43/14
In mixed form: 31/14
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