Add 10/27 and 49/70
10/27 + 49/70 is 289/270.
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,
10/27 = 10 × 70/27 × 70 = 700/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
49/70 = 49 × 27/70 × 27 = 1323/1890 - Add the two like fractions:
700/1890 + 1323/1890 = 700 + 1323/1890 = 2023/1890 - 2023/1890 simplified gives 289/270
- So, 10/27 + 49/70 = 289/270
In mixed form: 119/270
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