Add 98/27 and 4/40
1st number: 3 17/27, 2nd number: 4/40
98/27 + 4/40 is 1007/270.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
98/27 = 98 × 40/27 × 40 = 3920/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
4/40 = 4 × 27/40 × 27 = 108/1080 - Add the two like fractions:
3920/1080 + 108/1080 = 3920 + 108/1080 = 4028/1080 - 4028/1080 simplified gives 1007/270
- So, 98/27 + 4/40 = 1007/270
In mixed form: 3197/270
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