Add 90/27 and 45/70
1st number: 3 9/27, 2nd number: 45/70
90/27 + 45/70 is 167/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 27 × 70 = 1890,
90/27 = 90 × 70/27 × 70 = 6300/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
45/70 = 45 × 27/70 × 27 = 1215/1890 - Add the two like fractions:
6300/1890 + 1215/1890 = 6300 + 1215/1890 = 7515/1890 - 7515/1890 simplified gives 167/42
- So, 90/27 + 45/70 = 167/42
In mixed form: 341/42
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