Q:

What is 10/9 Divided by 19/13?

Accepted Solution

A:
What is 10/9 Divided by 19/13?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, 10, and its denominator, 9. We also have the second fraction, or the divisor, which can be broken down into its numerator, 19, and its denominator, 13:Numerator of the dividend: 10Denominator of the dividend: 9Numerator of the divisor: 19Denominator of the divisor: 13So, what is 10/9 divided by 19/13? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 10/9 Divided by 19/13, Step-by-stepFirst let’s set up the problem:109÷1913\frac{10}{9} ÷ \frac{19}{13}910​÷1319​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, 10, by the denominator of the divisor, 13.10 x 13 = 130This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 9, by the numerator of the divisor, 19:9 x 19 = 171This 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:130171\frac{130}{171}171130​ = 130171\frac{130}{171}171130​To display the answer to 10/9 divided by 19/13 in decimal form, you can continue to divide the numerator of the answer, 130, by the denominator, 171. The answer can be rounded to the nearest three decimal points, if needed:130171=0.760\frac{130}{171}= 0.760171130​=0.760So in decimal form, 10/9 divided by 19/13 = 0.760And in fractional form, 10/9 divided by 19/13 is 130/171Practice 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 1/19 divided by 78?14 divided by what equals 58?What divided by 68 equals 94?What is 17/18 divided by 11/8?What is 41 divided by 7/5?