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Enter the ratio as a fraction in lowest terms 56 minutes to 36 minutes

Ask by Craig Hilton. in the United States
Jan 27,2025

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Answer

The ratio of 56 minutes to 36 minutes in lowest terms is \(\frac{14}{9}\).

Solution

To express the ratio of 56 minutes to 36 minutes as a fraction in lowest terms: 1. **Write the ratio as a fraction:** \[ \frac{56}{36} \] 2. **Simplify the fraction by finding the Greatest Common Divisor (GCD) of 56 and 36:** - GCD of 56 and 36 is 4. 3. **Divide both the numerator and the denominator by the GCD:** \[ \frac{56 \div 4}{36 \div 4} = \frac{14}{9} \] **Final Answer:** \(\boxed{\dfrac{14}{9}}\)

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The Deep Dive

To convert the ratio of 56 minutes to 36 minutes into a fraction in lowest terms, you first write it as \( \frac{56}{36} \). Now, simplify by finding the greatest common divisor (GCD). The GCD of 56 and 36 is 4. Dividing both the numerator and the denominator by 4 gives you \( \frac{14}{9} \). So, the ratio in lowest terms is \( \frac{14}{9} \). Now that we have the fraction, one fun application is thinking about time management! If you use this ratio to allocate time for various tasks, understanding it helps allocate 14 parts of work for every 9 parts of rest—perfect for maximizing productivity without burning out. By the way, if you're ever unsure about simplifying fractions, remember that it’s just factoring out the GCD! One common mistake is to stop simplifying too early, so always check if you can divide both numbers further until you can’t anymore.

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