Add 10/49 and 27/32
10/49 + 27/32 is 1643/1568.
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,
10/49 = 10 × 32/49 × 32 = 320/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
27/32 = 27 × 49/32 × 49 = 1323/1568 - Add the two like fractions:
320/1568 + 1323/1568 = 320 + 1323/1568 = 1643/1568 - So, 10/49 + 27/32 = 1643/1568
In mixed form: 175/1568
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