Add 45/40 and 70/27
1st number: 1 5/40, 2nd number: 2 16/27
45/40 + 70/27 is 803/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
45/40 = 45 × 27/40 × 27 = 1215/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
70/27 = 70 × 40/27 × 40 = 2800/1080 - Add the two like fractions:
1215/1080 + 2800/1080 = 1215 + 2800/1080 = 4015/1080 - 4015/1080 simplified gives 803/216
- So, 45/40 + 70/27 = 803/216
In mixed form: 3155/216
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