Add 14/30 and 70/49
1st number: 14/30, 2nd number: 1 21/49
14/30 + 70/49 is 199/105.
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,
14/30 = 14 × 49/30 × 49 = 686/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
70/49 = 70 × 30/49 × 30 = 2100/1470 - Add the two like fractions:
686/1470 + 2100/1470 = 686 + 2100/1470 = 2786/1470 - 2786/1470 simplified gives 199/105
- So, 14/30 + 70/49 = 199/105
In mixed form: 194/105
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