Add 75/14 and 40/30
1st number: 5 5/14, 2nd number: 1 10/30
75/14 + 40/30 is 281/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
75/14 = 75 × 15/14 × 15 = 1125/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Add the two like fractions:
1125/210 + 280/210 = 1125 + 280/210 = 1405/210 - 1405/210 simplified gives 281/42
- So, 75/14 + 40/30 = 281/42
In mixed form: 629/42
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