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The ratio of free space to use space on a cell phone is $3:8$ . How much space is used if the phone has $12\,\text{GB}$ of free space

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Multiply and divide rational numbers: word problems

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Q. The ratio of free space to use space on a cell phone is

3:8

. How much space is used if the phone has

12\,\text{GB}

of free space

Calculate Ratio Multiplier: The ratio of free space to used space is $3:8$ , which means for every $3 \, \text{GB}$ of free space, there's $8 \, \text{GB}$ of used space. We have $12 \, \text{GB}$ of free space, so let's find out how many times $3$ goes into $12$ to figure out the ratio multiplier. $\newline$ Calculation: $12 \, \text{GB} \div 3 = 4$
Find Used Space: Now, multiply the ratio multiplier by the used space part of the ratio to find out how much space is used. $\newline$ Calculation: $4 \times 8 \, \text{GB} = 32 \, \text{GB}$

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