Add 21/49 and 27/32
21/49 + 27/32 is 285/224.
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,
21/49 = 21 × 32/49 × 32 = 672/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
27/32 = 27 × 49/32 × 49 = 1323/1568 - Add the two like fractions:
672/1568 + 1323/1568 = 672 + 1323/1568 = 1995/1568 - 1995/1568 simplified gives 285/224
- So, 21/49 + 27/32 = 285/224
In mixed form: 161/224
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