What is 45 Divided by 11/8?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the whole number, 45, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 11, and its denominator, 8:
Whole number and dividend: 45
Numerator of the divisor: 11
Denominator of the divisor: 8
So, what is 45 divided by 11/8? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 45 Divided by 11/8, Step-by-step
First let’s set up the problem:
45
÷
11
8
45 ÷ \frac{11}{8}
45 ÷ 8 11
Step 1:
Take the whole number, 45, and multiply it by the denominator of the fraction, 8:
45 x 8 = 360
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:
45
⋅
8
11
=
360
11
\frac{ 45 \cdot 8 }{11} = \frac{360}{11}
11 45 ⋅ 8 = 11 360
To display the answer to 45 divided by 11/8 in decimal form, you can divide the numerator, 360, by the denominator, 11. The answer can be rounded to the nearest three decimal points, if needed:
360
11
=
360
11
=
32.73
\frac{360}{11} = \frac{360}{11}= 32.73
11 360 = 11 360 = 32.73
So, in decimal form, 45 divided by 11/8 = 32.73
And in its simplest fractional form, 45 divided by 11/8 is 360/11
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