Add 14/49 and 45/32
1st number: 14/49, 2nd number: 1 13/32
14/49 + 45/32 is 379/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
14/49 = 14 × 32/49 × 32 = 448/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
45/32 = 45 × 49/32 × 49 = 2205/1568 - Add the two like fractions:
448/1568 + 2205/1568 = 448 + 2205/1568 = 2653/1568 - 2653/1568 simplified gives 379/224
- So, 14/49 + 45/32 = 379/224
In mixed form: 1155/224
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