Accepted Solution
Imagine we have a number, 3, and we need to divide it by a fraction, 5/6. How do we tackle this? Let's take a look at multiple steps involved to solve this mathematical problem.
The key question here is what is the result of 3 divided by 5/6. Let's decrypt this problem and find out the answer in both fractional and decimal forms.
We start by organizing the problem as follows: $$3 \div \frac{5}{6}$$ We then proceed as follows:
Step 1: Multiply the entire number, 3, by the denominator of the fraction, 6: $$3 \times 6 = 18$$
Step 2: Now, place the numerator of the fraction as the denominator of your answer, thereby displaying the response in fractional notation: $$\frac{3 \times 6}{5} = \frac{18}{5}$$
To express the result of 3 divided by 5/6 in decimal notation, you can divide the numerator, 18, by the denominator, 5. Round off the answer up to three decimal points if required: $$\frac{18}{5} = 3.6$$
So, in decimal format, 3 divided by 5/6 equals 3.6. In the simplest fractional form, 3 divided by 5/6 equals 18/5.
Exercise with similar division issues to master these skills. Try practicing with problems such as: