Add 40/84 and 98/75
1st number: 40/84, 2nd number: 1 23/75
40/84 + 98/75 is 312/175.
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,
40/84 = 40 × 25/84 × 25 = 1000/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
98/75 = 98 × 28/75 × 28 = 2744/2100 - Add the two like fractions:
1000/2100 + 2744/2100 = 1000 + 2744/2100 = 3744/2100 - 3744/2100 simplified gives 312/175
- So, 40/84 + 98/75 = 312/175
In mixed form: 1137/175
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