Add 28/35 and 49/96
28/35 + 49/96 is 629/480.
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,
28/35 = 28 × 96/35 × 96 = 2688/3360 - Likewise, for the 2nd fraction, since 96 × 35 = 3360,
49/96 = 49 × 35/96 × 35 = 1715/3360 - Add the two like fractions:
2688/3360 + 1715/3360 = 2688 + 1715/3360 = 4403/3360 - 4403/3360 simplified gives 629/480
- So, 28/35 + 49/96 = 629/480
In mixed form: 1149/480
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