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Reduce the following fraction to lowest terms. (60)/(84)

Question

Reduce the following fraction to lowest terms. (60)/(84)

Reduce the following fraction to lowest terms.
(60)/(84)

Solution

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QuentinElite · Tutor for 8 years

Answer

### $\frac{5}{7}$

Explain

## Step 1: Find the Greatest Common Divisor (GCD)<br />### To reduce the fraction $\frac{60}{84}$ to its lowest terms, we first need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 60 and 84 is 12.<br /><br />## Step 2: Divide Numerator and Denominator by GCD<br />### Divide both the numerator and the denominator by their GCD, which is 12:<br />\[<br />\begin{align*}<br />60 \div 12 &= 5, \\<br />84 \div 12 &= 7.<br />\end{align*}<br />\]<br />Thus, the fraction $\frac{60}{84}$ reduces to $\frac{5}{7}$.
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