Add 40/30 and 7/49
1st number: 1 10/30, 2nd number: 7/49
40/30 + 7/49 is 31/21.
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,
40/30 = 40 × 49/30 × 49 = 1960/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
7/49 = 7 × 30/49 × 30 = 210/1470 - Add the two like fractions:
1960/1470 + 210/1470 = 1960 + 210/1470 = 2170/1470 - 2170/1470 simplified gives 31/21
- So, 40/30 + 7/49 = 31/21
In mixed form: 110/21
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