Add 35/14 and 98/75
1st number: 2 7/14, 2nd number: 1 23/75
35/14 + 98/75 is 571/150.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 14 × 75 = 1050,
35/14 = 35 × 75/14 × 75 = 2625/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
98/75 = 98 × 14/75 × 14 = 1372/1050 - Add the two like fractions:
2625/1050 + 1372/1050 = 2625 + 1372/1050 = 3997/1050 - 3997/1050 simplified gives 571/150
- So, 35/14 + 98/75 = 571/150
In mixed form: 3121/150
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