What is 10/7 Divided by 42?
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 42:
Numerator of the dividend: 10
Denominator of the dividend: 7
Whole number and divisor: 42
So what is 10/7 Divided by 42? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 10/7 Divided by 42, Step-by-step
First let’s set up the problem:
10
7
÷
42
\frac{10}{7} ÷ 42
7 10 ÷ 42
Step 1:
Take the whole number, 42, and multiply it by the denominator of the fraction, 7:
7 x 42 = 294
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
⋅
42
10
=
294
10
\frac{ 7 \cdot 42 }{10} = \frac{294}{10}
10 7 ⋅ 42 = 10 294
To display the answer to 10/7 Divided by 42 in decimal form, you can divide the numerator, 294, by the denominator, 10. The answer can be rounded to the nearest three decimal points, if needed:
294
10
=
147
5
=
29.4
\frac{294}{10} = \frac{147}{5}= 29.4
10 294 = 5 147 = 29.4
So, in decimal form, 10 divided by 7/42 = 29.4
And in its simplest fractional form, 10 divided by 7/42 is 147/5
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