What is 14/4 Divided by 19/3?
Methods
Breaking 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, 14, and its denominator, 4. We also have the second fraction, or the divisor, which can be broken down into its numerator, 19, and its denominator, 3:
Numerator of the dividend: 14
Denominator of the dividend: 4
Numerator of the divisor: 19
Denominator of the divisor: 3
So, what is 14/4 divided by 19/3? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 14/4 Divided by 19/3, Step-by-step
First let’s set up the problem:
14
4
÷
19
3
\frac{14}{4} ÷ \frac{19}{3}
4 14 ÷ 3 19
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, 14, by the denominator of the divisor, 3.
14 x 3 = 42
This will become the numerator of the answer.
Step 2:
Then, multiply the denominator of the dividend, 4, by the numerator of the divisor, 19:
4 x 19 = 76
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:
42
76
\frac{42}{76}
76 42
=
21
38
\frac{21}{38}
38 21
To display the answer to 14/4 divided by 19/3 in decimal form, you can continue to divide the numerator of the answer, 42, by the denominator, 76. The answer can be rounded to the nearest three decimal points, if needed:
42
76
=
0.553
\frac{42}{76}= 0.553
76 42 = 0.553
So in decimal form, 14/4 divided by 19/3 = 0.553
And in fractional form, 14/4 divided by 19/3 is 21/38
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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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