Add 8/27 and 40/70
8/27 + 40/70 is 164/189.
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,
40/70 = 40 × 27/70 × 27 = 1080/1890 - Add the two like fractions:
560/1890 + 1080/1890 = 560 + 1080/1890 = 1640/1890 - 1640/1890 simplified gives 164/189
- So, 8/27 + 40/70 = 164/189
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