Add 98/49 and 45/32
1st number: 2 0/49, 2nd number: 1 13/32
98/49 + 45/32 is 109/32.
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,
98/49 = 98 × 32/49 × 32 = 3136/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
45/32 = 45 × 49/32 × 49 = 2205/1568 - Add the two like fractions:
3136/1568 + 2205/1568 = 3136 + 2205/1568 = 5341/1568 - 5341/1568 simplified gives 109/32
- So, 98/49 + 45/32 = 109/32
In mixed form: 313/32
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