Add 5/49 and 28/32
5/49 + 28/32 is 383/392.
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,
5/49 = 5 × 32/49 × 32 = 160/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
28/32 = 28 × 49/32 × 49 = 1372/1568 - Add the two like fractions:
160/1568 + 1372/1568 = 160 + 1372/1568 = 1532/1568 - 1532/1568 simplified gives 383/392
- So, 5/49 + 28/32 = 383/392
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