Add 4/49 and 10/32
4/49 + 10/32 is 309/784.
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,
10/32 = 10 × 49/32 × 49 = 490/1568 - Add the two like fractions:
128/1568 + 490/1568 = 128 + 490/1568 = 618/1568 - 618/1568 simplified gives 309/784
- So, 4/49 + 10/32 = 309/784
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