Add 35/27 and 45/70
1st number: 1 8/27, 2nd number: 45/70
35/27 + 45/70 is 733/378.
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,
35/27 = 35 × 70/27 × 70 = 2450/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
45/70 = 45 × 27/70 × 27 = 1215/1890 - Add the two like fractions:
2450/1890 + 1215/1890 = 2450 + 1215/1890 = 3665/1890 - 3665/1890 simplified gives 733/378
- So, 35/27 + 45/70 = 733/378
In mixed form: 1355/378
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