Add 75/14 and 40/21
1st number: 5 5/14, 2nd number: 1 19/21
75/14 + 40/21 is 305/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
75/14 = 75 × 3/14 × 3 = 225/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
40/21 = 40 × 2/21 × 2 = 80/42 - Add the two like fractions:
225/42 + 80/42 = 225 + 80/42 = 305/42 - So, 75/14 + 40/21 = 305/42
In mixed form: 711/42
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