Express your answer to the nearest hundredth. \( \frac{0.8}{0.55} \times \frac{1.4}{1}= \)
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The Deep Dive
To solve the expression \( \frac{0.8}{0.55} \times \frac{1.4}{1} \), first simplify \( \frac{1.4}{1} \), which is just 1. So the expression simplifies to \( \frac{0.8}{0.55} \). Now, calculate \( \frac{0.8}{0.55} \): \[ \frac{0.8}{0.55} = \frac{0.8 \times 100}{0.55 \times 100} = \frac{80}{55} \] Now simplify \( \frac{80}{55} \): Dividing both the numerator and denominator by 5 gives: \[ \frac{80 \div 5}{55 \div 5} = \frac{16}{11} \] Now perform the division: \[ 16 \div 11 \approx 1.454545 \] To round this to the nearest hundredth, we look at the third decimal place (4 in this case) and round down. Thus: \[ 1.454545 \approx 1.45 \] So, the answer is: \( \boxed{1.45} \)
