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https://www-awy.aleks.com/alekscgi/x/lsl.exe/1o_u-lgNslkr7j8P3jH-IB-HrQ-6LPrkicRI6pS6oAVDiQYFU2vvpW5CMCns Proportions Question 2 of 13 (1 point) | Question Attempt: 1 of Unlimited \( =1 \) 2 3 4 5 6 7 8 9 Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. \[ \$ 3.60 \text { to } \$ 1.60 \]

Ask by Bartlett Lowe. in the United States
Jan 23,2025

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Answer

The ratio \(\$3.60\) to \(\$1.60\) in simplest form is \(\frac{9}{4}\).

Solution

To write the ratio \(\$3.60\) to \(\$1.60\) as a fraction in simplest form with whole numbers: 1. **Convert the ratio to a fraction:** \[ \frac{3.60}{1.60} \] 2. **Remove the decimals by multiplying both numerator and denominator by 100:** \[ \frac{3.60 \times 100}{1.60 \times 100} = \frac{360}{160} \] 3. **Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 40:** \[ \frac{360 \div 40}{160 \div 40} = \frac{9}{4} \] So, the ratio in simplest form is: \[ \frac{9}{4} \]

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Beyond the Answer

To express the ratio of $3.60 to $1.60 as a fraction in simplest form, start by writing it as \( \frac{3.60}{1.60} \). Next, convert the decimals to whole numbers by multiplying both the numerator and denominator by 100, giving you \( \frac{360}{160} \). Now, simplify this fraction by finding the greatest common divisor (GCD) of 360 and 160, which is 80. Dividing both by 80 results in \( \frac{4.5}{2} \) that simplifies to \( \frac{9}{4} \). To make this process even easier, remember that simplifying fractions is like reducing your luggage for a trip. The less you carry (or the smaller your numbers), the easier it is to manage! Start by looking for common factors (like 2, in this case) in the numerator and denominator to easily take your fractions down a notch. Don't rush; just like packing, careful thought leads to a clear outcome!

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