Add 75/30 and 21/49
1st number: 2 15/30, 2nd number: 21/49
75/30 + 21/49 is 41/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
75/30 = 75 × 49/30 × 49 = 3675/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
21/49 = 21 × 30/49 × 30 = 630/1470 - Add the two like fractions:
3675/1470 + 630/1470 = 3675 + 630/1470 = 4305/1470 - 4305/1470 simplified gives 41/14
- So, 75/30 + 21/49 = 41/14
In mixed form: 213/14
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