Add 9/49 and 28/32
9/49 + 28/32 is 415/392.
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,
9/49 = 9 × 32/49 × 32 = 288/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
28/32 = 28 × 49/32 × 49 = 1372/1568 - Add the two like fractions:
288/1568 + 1372/1568 = 288 + 1372/1568 = 1660/1568 - 1660/1568 simplified gives 415/392
- So, 9/49 + 28/32 = 415/392
In mixed form: 123/392
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