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simplify the fraction to its lowest terms. \\(\\frac{10}{45} = \\frac{?…

Question

simplify the fraction to its lowest terms.
\\(\frac{10}{45} = \frac{?}{\text{blank}}\\) enter the numerator.

Explanation:

Step1: Find GCD of 10 and 45

The factors of 10 are \(1, 2, 5, 10\), and factors of 45 are \(1, 3, 5, 9, 15, 45\). The greatest common divisor (GCD) is 5.

Step2: Divide numerator and denominator by GCD

Divide numerator \(10\) by \(5\): \(10\div5 = 2\). Divide denominator \(45\) by \(5\): \(45\div5 = 9\). So \(\frac{10}{45}=\frac{2}{9}\).

Answer:

2