Add 21/4 and 45/49
1st number: 5 1/4, 2nd number: 45/49
21/4 + 45/49 is 1209/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
21/4 = 21 × 49/4 × 49 = 1029/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
45/49 = 45 × 4/49 × 4 = 180/196 - Add the two like fractions:
1029/196 + 180/196 = 1029 + 180/196 = 1209/196 - So, 21/4 + 45/49 = 1209/196
In mixed form: 633/196
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