Add 75/21 and 24/14
1st number: 3 12/21, 2nd number: 1 10/14
75/21 + 24/14 is 37/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
75/21 = 75 × 2/21 × 2 = 150/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
24/14 = 24 × 3/14 × 3 = 72/42 - Add the two like fractions:
150/42 + 72/42 = 150 + 72/42 = 222/42 - 222/42 simplified gives 37/7
- So, 75/21 + 24/14 = 37/7
In mixed form: 52/7
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