If A = 0.142857142857 _____ and B = 0.16666 _____, then what is the value of (A + B)/AB?
13
The repeating decimals are standard: \(A=0.\overline{142857}=\dfrac{1}{7}\) and \(B=0.1\overline{6}=\dfrac{1}{6}\).
Use the algebraic shortcut:
\[\frac{A+B}{AB}=\frac{1}{A}+\frac{1}{B}=7+6=13\]
Therefore the value is 13.
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Important Questions from Decimals
What is the result when 0.129129129… is converted to a fraction?
Which of the following statement(s) is/are correct?
I. (3/11) > 0.3
II. (7/8) > 0.86
The value of \(1.\overline{3}+0.\overline{69}-0.5\overline{23}\) is equal to:
The value of \(0.\bar 4 + 0.5 \bar 9 - 0.4 \overline{23}\) is equal to:
Find the sum of \(\frac{0.01}{0.1}+\frac{0.1}{0.01}\)
