What is 8/13 Divided by 46?
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 46:
Numerator of the dividend: 8
Denominator of the dividend: 13
Whole number and divisor: 46
So what is 8/13 Divided by 46? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 8/13 Divided by 46, Step-by-step
First let’s set up the problem:
8
13
÷
46
\frac{8}{13} ÷ 46
13 8 ÷ 46
Step 1:
Take the whole number, 46, and multiply it by the denominator of the fraction, 13:
13 x 46 = 598
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
⋅
46
8
=
598
8
\frac{ 13 \cdot 46 }{8} = \frac{598}{8}
8 13 ⋅ 46 = 8 598
To display the answer to 8/13 Divided by 46 in decimal form, you can divide the numerator, 598, by the denominator, 8. The answer can be rounded to the nearest three decimal points, if needed:
598
8
=
299
4
=
74.75
\frac{598}{8} = \frac{299}{4}= 74.75
8 598 = 4 299 = 74.75
So, in decimal form, 8 divided by 13/46 = 74.75
And in its simplest fractional form, 8 divided by 13/46 is 299/4
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