Add 14/25 and 35/49
14/25 + 35/49 is 223/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225
Next, find the equivalent fraction of both fractional numbers with denominator 1225 - For the 1st fraction, since 25 × 49 = 1225,
14/25 = 14 × 49/25 × 49 = 686/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
35/49 = 35 × 25/49 × 25 = 875/1225 - Add the two like fractions:
686/1225 + 875/1225 = 686 + 875/1225 = 1561/1225 - 1561/1225 simplified gives 223/175
- So, 14/25 + 35/49 = 223/175
In mixed form: 148/175
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