\( \begin{array}{l}\text { Write an expression: } \\ \text { Division } \\ \text { 1. The quotient of } \mathrm{r} \text { and } 19 \\ \text { 2. } x \text { divided by } \mathrm{d} \\ \text { 3. The ratio of } \mathrm{c} \text { to } \mathrm{d} \\ \text { 4. The price p per gallon } \mathrm{g}\end{array} \)
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The quotient of \( r \) and 19 can be expressed as \( \frac{r}{19} \). For \( x \) divided by \( d \), it becomes \( \frac{x}{d} \). The ratio of \( c \) to \( d \ is \frac{c}{d} \). Lastly, the price \( p \) per gallon \( g \) can be represented as \( \frac{p}{g} \). Did you know that ratios and quotients are foundational in fields like finance and science? Understanding how to express them accurately can help you manage budgets or analyze trends in data. Think of ratios as a way to compare sizes—like how many apples you can buy for every orange! Also, when working with division, be aware of common mistakes like overlooking the order of operations or misplacing parentheses. It's vital to keep the symbols clear—confusion can lead to unintended results! Always double-check your work to ensure you've expressed everything correctly.
