Add 8/27 and 49/70
8/27 + 49/70 is 269/270.
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,
8/27 = 8 × 70/27 × 70 = 560/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
49/70 = 49 × 27/70 × 27 = 1323/1890 - Add the two like fractions:
560/1890 + 1323/1890 = 560 + 1323/1890 = 1883/1890 - 1883/1890 simplified gives 269/270
- So, 8/27 + 49/70 = 269/270
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