Add 16/25 and 21/49
16/25 + 21/49 is 187/175.
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,
16/25 = 16 × 49/25 × 49 = 784/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
21/49 = 21 × 25/49 × 25 = 525/1225 - Add the two like fractions:
784/1225 + 525/1225 = 784 + 525/1225 = 1309/1225 - 1309/1225 simplified gives 187/175
- So, 16/25 + 21/49 = 187/175
In mixed form: 112/175
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