Q:

What is 7/20 Divided by 13/14?

Accepted Solution

A:
What is 7/20 Divided by 13/14?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, 7, and its denominator, 20. We also have the second fraction, or the divisor, which can be broken down into its numerator, 13, and its denominator, 14:Numerator of the dividend: 7Denominator of the dividend: 20Numerator of the divisor: 13Denominator of the divisor: 14So, what is 7/20 divided by 13/14? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 7/20 Divided by 13/14, Step-by-stepFirst let’s set up the problem:720÷1314\frac{7}{20} ÷ \frac{13}{14}207​÷1413​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, 7, by the denominator of the divisor, 14.7 x 14 = 98This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 20, by the numerator of the divisor, 13:20 x 13 = 260This 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:98260\frac{98}{260}26098​ = 49130\frac{49}{130}13049​To display the answer to 7/20 divided by 13/14 in decimal form, you can continue to divide the numerator of the answer, 98, by the denominator, 260. The answer can be rounded to the nearest three decimal points, if needed:98260=0.377\frac{98}{260}= 0.37726098​=0.377So in decimal form, 7/20 divided by 13/14 = 0.377And in fractional form, 7/20 divided by 13/14 is 49/130Practice 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 10/12 divided by 9?40 divided by what equals 31?What divided by 80 equals 3?What is 15/14 divided by 20/1?What is 42 divided by 13/11?