Add 84/35 and 49/48
1st number: 2 14/35, 2nd number: 1 1/48
84/35 + 49/48 is 821/240.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 48 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 35 × 48 = 1680,
84/35 = 84 × 48/35 × 48 = 4032/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
49/48 = 49 × 35/48 × 35 = 1715/1680 - Add the two like fractions:
4032/1680 + 1715/1680 = 4032 + 1715/1680 = 5747/1680 - 5747/1680 simplified gives 821/240
- So, 84/35 + 49/48 = 821/240
In mixed form: 3101/240
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