What is 10/4 Divided by 9/18?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem, as each piece is important. We have the first fraction, or the dividend, which can be divided by its numerator, 10, and its denominator, 4. We also have the first fraction, or the divisor, which can be broken down into its numerator, 9, and its denominator, 18:
Numerator of the dividend: 10
Denominator of the dividend: 4
Numerator of the divisor: 9
Denominator of the divisor: 18
So, what is 10/4 divided by 9/18? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 10/4 Divided by 9/18, Step-by-step
First let’s set up the problem:
10
4
÷
9
18
\frac{10}{4} ÷ \frac{9}{18}
4 10 ÷ 18 9
Step 1:
Interestingly, the first step to solving a division problem between two fractions is to multiply. First, you multiply the numerator of the dividend, 10, by the denominator of the divisor, 18.
10 x 18 = 180
Step 2:
Then, multiply the denominator of the dividend, 4, by the numerator of the divisor, 9:
4 x 9 = 36
This will be the denominator of the answer.
Step 3:
Put the two answers together into one fraction, and this will be the answer to the problem in fraction form:
180
36
\frac{180}{36}
36 180
=
5
1
\frac{5}{1}
1 5
A fraction that has 1 as its denominator is an improper fraction. So, we should simplify this to just be 5
Because 5 is a whole number, there is no reason to write the answer in decimal form.
So, 10/4 divided by 9/18 = 5.
Practice Other Division Problems Like This One
If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!
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