What is 85 Divided by 20/9?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the whole number, 85, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 20, and its denominator, 9:
Whole number and dividend: 85
Numerator of the divisor: 20
Denominator of the divisor: 9
So, what is 85 divided by 20/9? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 85 Divided by 20/9, Step-by-step
First let’s set up the problem:
85
÷
20
9
85 ÷ \frac{20}{9}
85 ÷ 9 20
Step 1:
Take the whole number, 85, and multiply it by the denominator of the fraction, 9:
85 x 9 = 765
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:
85
⋅
9
20
=
765
20
\frac{ 85 \cdot 9 }{20} = \frac{765}{20}
20 85 ⋅ 9 = 20 765
To display the answer to 85 divided by 20/9 in decimal form, you can divide the numerator, 765, by the denominator, 20. The answer can be rounded to the nearest three decimal points, if needed:
765
20
=
153
4
=
38.25
\frac{765}{20} = \frac{153}{4}= 38.25
20 765 = 4 153 = 38.25
So, in decimal form, 85 divided by 20/9 = 38.25
And in its simplest fractional form, 85 divided by 20/9 is 153/4
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