What is 38 Divided by 4/17?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the whole number, 38, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 4, and its denominator, 17:
Whole number and dividend: 38
Numerator of the divisor: 4
Denominator of the divisor: 17
So, what is 38 divided by 4/17? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 38 Divided by 4/17, Step-by-step
First let’s set up the problem:
38
÷
4
17
38 ÷ \frac{4}{17}
38 ÷ 17 4
Step 1:
Take the whole number, 38, and multiply it by the denominator of the fraction, 17:
38 x 17 = 646
Step 2:
The numerator of the fraction will now become the denominator of the answer. The answer to the problem in fraction form can now be seen:
38
⋅
17
4
=
646
4
\frac{ 38 \cdot 17 }{4} = \frac{646}{4}
4 38 ⋅ 17 = 4 646
To display the answer to 38 divided by 4/17 in decimal form, you can divide the numerator, 646, by the denominator, 4. The answer can be rounded to the nearest three decimal points, if needed:
646
4
=
323
2
=
161.5
\frac{646}{4} = \frac{323}{2}= 161.5
4 646 = 2 323 = 161.5
So, in decimal form, 38 divided by 4/17 = 161.5
And in its simplest fractional form, 38 divided by 4/17 is 323/2
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