Add 75/21 and 45/30
1st number: 3 12/21, 2nd number: 1 15/30
75/21 + 45/30 is 71/14.
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,
45/30 = 45 × 7/30 × 7 = 315/210 - Add the two like fractions:
750/210 + 315/210 = 750 + 315/210 = 1065/210 - 1065/210 simplified gives 71/14
- So, 75/21 + 45/30 = 71/14
In mixed form: 51/14
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