Add 84/35 and 21/96
1st number: 2 14/35, 2nd number: 21/96
84/35 + 21/96 is 419/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 96 is 3360
Next, find the equivalent fraction of both fractional numbers with denominator 3360 - For the 1st fraction, since 35 × 96 = 3360,
84/35 = 84 × 96/35 × 96 = 8064/3360 - Likewise, for the 2nd fraction, since 96 × 35 = 3360,
21/96 = 21 × 35/96 × 35 = 735/3360 - Add the two like fractions:
8064/3360 + 735/3360 = 8064 + 735/3360 = 8799/3360 - 8799/3360 simplified gives 419/160
- So, 84/35 + 21/96 = 419/160
In mixed form: 299/160
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