Q:

What is 65/39 Divided by 27/31?

Accepted Solution

A:
What is 65/39 Divided by 27/31?MethodsBreaking 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, 65, and its denominator, 39. We also have the second fraction, or the divisor, which can be broken down into its numerator, 27, and its denominator, 31:Numerator of the dividend: 65Denominator of the dividend: 39Numerator of the divisor: 27Denominator of the divisor: 31So, what is 65/39 divided by 27/31? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 65/39 Divided by 27/31, Step-by-stepFirst let’s set up the problem:6539÷2731\frac{65}{39} ÷ \frac{27}{31}3965​÷3127​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, 65, by the denominator of the divisor, 31.65 x 31 = 2015This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 39, by the numerator of the divisor, 27:39 x 27 = 1053This 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:20151053\frac{2015}{1053}10532015​ = 15581\frac{155}{81}81155​To display the answer to 65/39 divided by 27/31 in decimal form, you can continue to divide the numerator of the answer, 2015, by the denominator, 1053. The answer can be rounded to the nearest three decimal points, if needed:20151053=1.914\frac{2015}{1053}= 1.91410532015​=1.914So in decimal form, 65/39 divided by 27/31 = 1.914And in fractional form, 65/39 divided by 27/31 is 155/81Practice Other Division Problems Like This OneIf 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 is 11/8 divided by 21?42 divided by what equals 41?What divided by 70 equals 4?What is 13/4 divided by 20/1?What is 23 divided by 19/6?