Questions: Write the fraction in lowest terms. 10/15 A. 3/2 B. 14/9 C. 11/16 D. 2/3

Write the fraction in lowest terms. 10/15 A. 3/2 B. 14/9 C. 11/16 D. 2/3
Transcript text: Write the fraction in lowest terms. $\frac{10}{15}$ A. $\frac{3}{2}$ B. $\frac{14}{9}$ C. $\frac{11}{16}$ D. $\frac{2}{3}$
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Solution

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Solution Steps

Step 1: Simplify the fraction

The given fraction is \(\frac{10}{15}\). To simplify it, we divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 10 and 15 is 5.

\[ \frac{10}{15} = \frac{10 \div 5}{15 \div 5} = \frac{2}{3} \]

Final Answer

The fraction \(\frac{10}{15}\) in lowest terms is \(\boxed{\frac{2}{3}}\). The correct choice is D.

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