Add 35/30 and 75/14
1st number: 1 5/30, 2nd number: 5 5/14
35/30 + 75/14 is 137/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
75/14 = 75 × 15/14 × 15 = 1125/210 - Add the two like fractions:
245/210 + 1125/210 = 245 + 1125/210 = 1370/210 - 1370/210 simplified gives 137/21
- So, 35/30 + 75/14 = 137/21
In mixed form: 611/21
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