What is 7/4 Divided by 3?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the fraction, 7/4, which is also the dividend, and the whole number, or the divisor, which is 3:
Numerator of the dividend: 7
Denominator of the dividend: 4
Whole number and divisor: 3
So what is 7/4 Divided by 3? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 7/4 Divided by 3, Step-by-step
First let’s set up the problem:
7
4
÷
3
\frac{7}{4} ÷ 3
4 7 ÷ 3
Step 1:
Take the whole number, 3, and multiply it by the denominator of the fraction, 4:
4 x 3 = 12
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:
4
⋅
3
7
=
12
7
\frac{ 4 \cdot 3 }{7} = \frac{12}{7}
7 4 ⋅ 3 = 7 12
To display the answer to 7/4 Divided by 3 in decimal form, you can divide the numerator, 12, by the denominator, 7. The answer can be rounded to the nearest three decimal points, if needed:
12
7
=
12
7
=
1.71
\frac{12}{7} = \frac{12}{7}= 1.71
7 12 = 7 12 = 1.71
So, in decimal form, 7 divided by 4/3 = 1.71
And in its simplest fractional form, 7 divided by 4/3 is 12/7
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If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!
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