Questions: Write the fraction in lowest terms. 30/50

Write the fraction in lowest terms.
30/50
Transcript text: Write the fraction in lowest terms. \[ \frac{30}{50} \]
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Solution

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Solution Steps

To reduce a fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by this GCD.

Step 1: Identify the Fraction

We are given the fraction \(\frac{30}{50}\).

Step 2: Calculate the Greatest Common Divisor (GCD)

To reduce the fraction, we first find the greatest common divisor of the numerator and the denominator. The GCD of 30 and 50 is 10.

Step 3: Divide the Numerator and Denominator by the GCD

We divide both the numerator and the denominator by their GCD: \[ \frac{30}{50} = \frac{30 \div 10}{50 \div 10} = \frac{3}{5} \]

Final Answer

\(\boxed{\frac{3}{5}}\)

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