Add 14/10 and 30/49
1st number: 1 4/10, 2nd number: 30/49
14/10 + 30/49 is 493/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 10 × 49 = 490,
14/10 = 14 × 49/10 × 49 = 686/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
30/49 = 30 × 10/49 × 10 = 300/490 - Add the two like fractions:
686/490 + 300/490 = 686 + 300/490 = 986/490 - 986/490 simplified gives 493/245
- So, 14/10 + 30/49 = 493/245
In mixed form: 23/245
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