What is 75 Divided by 19/13?
Methods
Breaking down the problem:
First, let’s break down each piece of the problem. We have the whole number, 75, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 19, and its denominator, 13:
Whole number and dividend: 75
Numerator of the divisor: 19
Denominator of the divisor: 13
So, what is 75 divided by 19/13? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 75 Divided by 19/13, Step-by-step
First let’s set up the problem:
75
÷
19
13
75 ÷ \frac{19}{13}
75 ÷ 13 19
Step 1:
Take the whole number, 75, and multiply it by the denominator of the fraction, 13:
75 x 13 = 975
Step 2:
The numerator of the fraction will now become the denominator of the answer. The answer to the problem in fraction form can now be seen:
75
⋅
13
19
=
975
19
\frac{ 75 \cdot 13 }{19} = \frac{975}{19}
19 75 ⋅ 13 = 19 975
To display the answer to 75 divided by 19/13 in decimal form, you can divide the numerator, 975, by the denominator, 19. The answer can be rounded to the nearest three decimal points, if needed:
975
19
=
975
19
=
51.32
\frac{975}{19} = \frac{975}{19}= 51.32
19 975 = 19 975 = 51.32
So, in decimal form, 75 divided by 19/13 = 51.32
And in its simplest fractional form, 75 divided by 19/13 is 975/19
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!
What divided by 35 equals 26?
What is 10 divided by 4/12?
What is 17/13 divided by 9/2?
34 divided by what equals 74?
What is 11/1 divided by 41?