Add 40/14 and 98/75
1st number: 2 12/14, 2nd number: 1 23/75
40/14 + 98/75 is 2186/525.
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,
40/14 = 40 × 75/14 × 75 = 3000/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
98/75 = 98 × 14/75 × 14 = 1372/1050 - Add the two like fractions:
3000/1050 + 1372/1050 = 3000 + 1372/1050 = 4372/1050 - 4372/1050 simplified gives 2186/525
- So, 40/14 + 98/75 = 2186/525
In mixed form: 486/525
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