Add 21/49 and 32/30
1st number: 21/49, 2nd number: 1 2/30
21/49 + 32/30 is 157/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
21/49 = 21 × 30/49 × 30 = 630/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
32/30 = 32 × 49/30 × 49 = 1568/1470 - Add the two like fractions:
630/1470 + 1568/1470 = 630 + 1568/1470 = 2198/1470 - 2198/1470 simplified gives 157/105
- So, 21/49 + 32/30 = 157/105
In mixed form: 152/105
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