What is 10/7 Divided by 46?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the fraction, 10/7, which is also the dividend, and the whole number, or the divisor, which is 46:
Numerator of the dividend: 10
Denominator of the dividend: 7
Whole number and divisor: 46
So what is 10/7 Divided by 46? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 10/7 Divided by 46, Step-by-step
First let’s set up the problem:
10
7
÷
46
\frac{10}{7} ÷ 46
7 10 ÷ 46
Step 1:
Take the whole number, 46, and multiply it by the denominator of the fraction, 7:
7 x 46 = 322
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:
7
⋅
46
10
=
322
10
\frac{ 7 \cdot 46 }{10} = \frac{322}{10}
10 7 ⋅ 46 = 10 322
To display the answer to 10/7 Divided by 46 in decimal form, you can divide the numerator, 322, by the denominator, 10. The answer can be rounded to the nearest three decimal points, if needed:
322
10
=
161
5
=
32.2
\frac{322}{10} = \frac{161}{5}= 32.2
10 322 = 5 161 = 32.2
So, in decimal form, 10 divided by 7/46 = 32.2
And in its simplest fractional form, 10 divided by 7/46 is 161/5
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