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an airplane has flown 260 miles out of a total trip of 500 miles. what …

Question

an airplane has flown 260 miles out of a total trip of 500 miles. what fraction, in simplest form, of the trip has been completed?

Explanation:

Step1: Define the fraction

The fraction is $\frac{\text{miles flown}}{\text{total miles}} = \frac{260}{500}$

Step2: Simplify the fraction

Find GCD of 260 and 500 (GCD=20). Divide numerator and denominator by 20:
$\frac{260 \div 20}{500 \div 20} = \frac{13}{25}$

Answer:

$\frac{13}{25}$