Add 21/25 and 42/49
21/25 + 42/49 is 297/175.
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,
21/25 = 21 × 49/25 × 49 = 1029/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
42/49 = 42 × 25/49 × 25 = 1050/1225 - Add the two like fractions:
1029/1225 + 1050/1225 = 1029 + 1050/1225 = 2079/1225 - 2079/1225 simplified gives 297/175
- So, 21/25 + 42/49 = 297/175
In mixed form: 1122/175
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