Add 1/4 and 40/49
1/4 + 40/49 is 209/196.
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,
1/4 = 1 × 49/4 × 49 = 49/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
40/49 = 40 × 4/49 × 4 = 160/196 - Add the two like fractions:
49/196 + 160/196 = 49 + 160/196 = 209/196 - So, 1/4 + 40/49 = 209/196
In mixed form: 113/196
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