Add 10/84 and 98/75
1st number: 10/84, 2nd number: 1 23/75
10/84 + 98/75 is 499/350.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
10/84 = 10 × 25/84 × 25 = 250/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
98/75 = 98 × 28/75 × 28 = 2744/2100 - Add the two like fractions:
250/2100 + 2744/2100 = 250 + 2744/2100 = 2994/2100 - 2994/2100 simplified gives 499/350
- So, 10/84 + 98/75 = 499/350
In mixed form: 1149/350
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