What is 8/13 Divided by 38?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the fraction, 8/13, which is also the dividend, and the whole number, or the divisor, which is 38:
Numerator of the dividend: 8
Denominator of the dividend: 13
Whole number and divisor: 38
So what is 8/13 Divided by 38? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 8/13 Divided by 38, Step-by-step
First let’s set up the problem:
8
13
÷
38
\frac{8}{13} ÷ 38
13 8 ÷ 38
Step 1:
Take the whole number, 38, and multiply it by the denominator of the fraction, 13:
13 x 38 = 494
Step 2:
The result of this multiplication will now become the denominator of the answer. The answer to the problem in fraction form can now be seen:
13
⋅
38
8
=
494
8
\frac{ 13 \cdot 38 }{8} = \frac{494}{8}
8 13 ⋅ 38 = 8 494
To display the answer to 8/13 Divided by 38 in decimal form, you can divide the numerator, 494, by the denominator, 8. The answer can be rounded to the nearest three decimal points, if needed:
494
8
=
247
4
=
61.75
\frac{494}{8} = \frac{247}{4}= 61.75
8 494 = 4 247 = 61.75
So, in decimal form, 8 divided by 13/38 = 61.75
And in its simplest fractional form, 8 divided by 13/38 is 247/4
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