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What is 3/14 Divided by 11/8?
Methods
Math tutor breaks down the problem:
First, let’s break down each piece of the problem, as each piece is important. We have the first fraction, or the dividend, which can be broken down into its numerator, 3, and its denominator, 14. We also have the second fraction, or the divisor, which can be broken down into its numerator, 11, and its denominator, 8:
Numerator of the dividend: 3
Denominator of the dividend: 14
Numerator of the divisor: 11
Denominator of the divisor: 8
So, what is 3/14 divided by 11/8? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 3/14 Divided by 11/8, Step-by-step from math tutor
First let’s set up the problem:
Step 1:
Interestingly, the first step to solving a division problem between two fractions is to multiply. First, you multiply the numerator of the dividend, 3, by the denominator of the divisor, 8.
3 x 8 = 24
This will become the numerator of the answer.
Step 2:
Then, multiply the denominator of the dividend, 14, by the numerator of the divisor, 11:
14 x 11 = 154
This will be the denominator of the answer.
Step 3:
Put the two answers together into one fraction, and this will be the answer to the problem in fraction form:
To display the answer to 3/14 divided by 11/8 in decimal form, you can continue to divide the numerator of the answer, 24, by the denominator, 154. The answer can be rounded to the nearest three decimal points, if needed:
So in decimal form, 3/14 divided by 11/8 = 0.156
And in fractional form, 3/14 divided by 11/8 is 12/77
Math Tutor Suggests: Practice Other Division Problems Like This One
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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