Add 35/28 and 98/75
1st number: 1 7/28, 2nd number: 1 23/75
35/28 + 98/75 is 767/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 28 × 75 = 2100,
35/28 = 35 × 75/28 × 75 = 2625/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
98/75 = 98 × 28/75 × 28 = 2744/2100 - Add the two like fractions:
2625/2100 + 2744/2100 = 2625 + 2744/2100 = 5369/2100 - 5369/2100 simplified gives 767/300
- So, 35/28 + 98/75 = 767/300
In mixed form: 2167/300
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