Accepted Solution
Let's consider a numerical problem: What is 60 divided by 12/11?
Methods
Before diving into the solution, it's important to understand the parts of the problem. We have the number 60 to be divided, named as dividend, and a fraction, 12/11, functioning as the divisor. Breaking the divisor into its components gives us:
The problem reads: What is 60 divided by 12/11? Let's solve it, and present the answer in both fraction and decimal forms.
Step-by-Step
Setting up the problem:
\[ \frac{60}{\frac{12}{11}} \]Step 1: Multiply the dividend (60) by the denominator of the divisor (11)
\[ 60 \times 11 = 660 \]Step 2: Make the numerator of the divisor the new denominator of the fraction, thus the answer becomes:
\[ \frac{660}{12} = \frac{55}{1} \]A fraction where the denominator is 1 is considered as an improper fraction, which can be simplified to just the numerator. Hence, as the numerator is a whole number, the answer in decimal form is not needed.
Thus,
\[ \frac{60}{\frac{12}{11}} = 55 \]
Mastering this skill require practice. Here are some similar problems to try: