Add 42/5 and 75/24
1st number: 8 2/5, 2nd number: 3 3/24
42/5 + 75/24 is 461/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 5 × 24 = 120,
42/5 = 42 × 24/5 × 24 = 1008/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
75/24 = 75 × 5/24 × 5 = 375/120 - Add the two like fractions:
1008/120 + 375/120 = 1008 + 375/120 = 1383/120 - 1383/120 simplified gives 461/40
- So, 42/5 + 75/24 = 461/40
In mixed form: 1121/40
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