Add 8/49 and 40/32
1st number: 8/49, 2nd number: 1 8/32
8/49 + 40/32 is 277/196.
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,
8/49 = 8 × 32/49 × 32 = 256/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
40/32 = 40 × 49/32 × 49 = 1960/1568 - Add the two like fractions:
256/1568 + 1960/1568 = 256 + 1960/1568 = 2216/1568 - 2216/1568 simplified gives 277/196
- So, 8/49 + 40/32 = 277/196
In mixed form: 181/196
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