\(\frac{0.1667 \times 0.8333 \times 0.3333}{0.2222 \times 0.6667 \times 0.1250}\) is approximately equal to:
2.5
The expression is \(\frac{0.1667\times 0.8333\times 0.3333}{0.2222\times 0.6667\times 0.1250}\). Each decimal is a rounded form of a simple fraction, so convert them first.
Numerator decimals: \(0.1667\approx \frac{1}{6}\), \(0.8333\approx \frac{5}{6}\), \(0.3333\approx \frac{1}{3}\).
Denominator decimals: \(0.2222\approx \frac{2}{9}\), \(0.6667\approx \frac{2}{3}\), \(0.1250=\frac{1}{8}\).
Numerator \(=\frac{1}{6}\times \frac{5}{6}\times \frac{1}{3}=\frac{5}{108}\).
Denominator \(=\frac{2}{9}\times \frac{2}{3}\times \frac{1}{8}=\frac{4}{216}=\frac{1}{54}\).
Divide by inverting the denominator: \(\frac{5}{108}\div \frac{1}{54}=\frac{5}{108}\times 54=\frac{270}{108}=2.5\).
The concept is replacing awkward decimals with their nearest simple fractions to simplify the arithmetic. Hence the expression is approximately 2.5.
Similar Questions
\(\frac{0.1667 \times 0.8333 \times 0.3333}{0.2222 \times 0.6667 \times 0.1250}\) is approximately equal to:
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