Add 49/4 and 21/35
1st number: 12 1/4, 2nd number: 21/35
49/4 + 21/35 is 257/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 4 × 35 = 140,
49/4 = 49 × 35/4 × 35 = 1715/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
21/35 = 21 × 4/35 × 4 = 84/140 - Add the two like fractions:
1715/140 + 84/140 = 1715 + 84/140 = 1799/140 - 1799/140 simplified gives 257/20
- So, 49/4 + 21/35 = 257/20
In mixed form: 1217/20
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