Accepted Solution
Topic: Understanding how to Divide by a Fraction
In this exercise, we aim to understand what happens when we divide a whole number by a fraction. Let's take an example - Dividing 61 by 1/8.
\begin{center}
\begin{tabular}{|c|c|}
\hline
\textbf{Given Data} & \textbf{Values}\\
\hline
Whole Number (Dividend) & 61 \\
Numerator of Fraction (Divisor) & 1 \\
Denominator of Fraction (Divisor) & 8 \\
\hline
\end{tabular}
\end{center}
Steps:
Let's set up the division problem as $61 \div \frac{1}{8}$.
\textbf{Step 1:} Multiply the whole number (61) by the denominator of the fraction (8). The result is $61 * 8 = 488$.
\textbf{Step 2:} The number 1 from the numerator of the divisor now becomes the denominator. Thus, the answer in fraction form is $488/1 = 488$. In decimal form, it remains 488 as dividing any number by 1 doesn't alter it.
So, $61 \div \frac{1}{8} = 488$.
Additional Practice:
Dividing by fractions can be tricky, but practice can significantly improve clarity. Here are a few division problems to work on:
- What number divided by 30 equals 31?
- What is 21 divided by 3/10?
- What is $\frac{11}{18}$ divided by $\frac{5}{17}$?
- 6 divided by what equals 53?
- What is $\frac{19}{1}$ divided by 15?