Add 75/30 and 1/21
1st number: 2 15/30, 2nd number: 1/21
75/30 + 1/21 is 107/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 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 21 × 10 = 210,
1/21 = 1 × 10/21 × 10 = 10/210 - Add the two like fractions:
525/210 + 10/210 = 525 + 10/210 = 535/210 - 535/210 simplified gives 107/42
- So, 75/30 + 1/21 = 107/42
In mixed form: 223/42
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