Add 75/32 and 70/98
1st number: 2 11/32, 2nd number: 70/98
75/32 + 70/98 is 685/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 98 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 32 × 49 = 1568,
75/32 = 75 × 49/32 × 49 = 3675/1568 - Likewise, for the 2nd fraction, since 98 × 16 = 1568,
70/98 = 70 × 16/98 × 16 = 1120/1568 - Add the two like fractions:
3675/1568 + 1120/1568 = 3675 + 1120/1568 = 4795/1568 - 4795/1568 simplified gives 685/224
- So, 75/32 + 70/98 = 685/224
In mixed form: 313/224
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