Add 75/21 and 35/30
1st number: 3 12/21, 2nd number: 1 5/30
75/21 + 35/30 is 199/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 21 × 10 = 210,
75/21 = 75 × 10/21 × 10 = 750/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210 - Add the two like fractions:
750/210 + 245/210 = 750 + 245/210 = 995/210 - 995/210 simplified gives 199/42
- So, 75/21 + 35/30 = 199/42
In mixed form: 431/42
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