Add 49/40 and 21/24
1st number: 1 9/40, 2nd number: 21/24
49/40 + 21/24 is 21/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
49/40 = 49 × 3/40 × 3 = 147/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120 - Add the two like fractions:
147/120 + 105/120 = 147 + 105/120 = 252/120 - 252/120 simplified gives 21/10
- So, 49/40 + 21/24 = 21/10
In mixed form: 21/10
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