Add 49/20 and 75/24
1st number: 2 9/20, 2nd number: 3 3/24
49/20 + 75/24 is 223/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 20 × 6 = 120,
49/20 = 49 × 6/20 × 6 = 294/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
75/24 = 75 × 5/24 × 5 = 375/120 - Add the two like fractions:
294/120 + 375/120 = 294 + 375/120 = 669/120 - 669/120 simplified gives 223/40
- So, 49/20 + 75/24 = 223/40
In mixed form: 523/40
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