Add 4/49 and 4/32
4/49 + 4/32 is 81/392.
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,
4/49 = 4 × 32/49 × 32 = 128/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
4/32 = 4 × 49/32 × 49 = 196/1568 - Add the two like fractions:
128/1568 + 196/1568 = 128 + 196/1568 = 324/1568 - 324/1568 simplified gives 81/392
- So, 4/49 + 4/32 = 81/392
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