Add 40/9 and 42/96
1st number: 4 4/9, 2nd number: 42/96
40/9 + 42/96 is 703/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
42/96 = 42 × 3/96 × 3 = 126/288 - Add the two like fractions:
1280/288 + 126/288 = 1280 + 126/288 = 1406/288 - 1406/288 simplified gives 703/144
- So, 40/9 + 42/96 = 703/144
In mixed form: 4127/144
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