Q:

What is 10/6 Divided by 2/9?

Accepted Solution

A:
What is 10/6 Divided by 2/9?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, 6. We also have the second fraction, or the divisor, which can be broken down into its numerator, 2, and its denominator, 9:Numerator of the dividend: 10Denominator of the dividend: 6Numerator of the divisor: 2Denominator of the divisor: 9So, what is 10/6 divided by 2/9? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 10/6 Divided by 2/9, Step-by-stepFirst let’s set up the problem:106÷29\frac{10}{6} ÷ \frac{2}{9}610​÷92​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, 9.10 x 9 = 90This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 6, by the numerator of the divisor, 2:6 x 2 = 12This 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:9012\frac{90}{12}1290​ = 152\frac{15}{2}215​To display the answer to 10/6 divided by 2/9 in decimal form, you can continue to divide the numerator of the answer, 90, by the denominator, 12. The answer can be rounded to the nearest three decimal points, if needed:9012=7.500\frac{90}{12}= 7.5001290​=7.500So in decimal form, 10/6 divided by 2/9 = 7.500And in fractional form, 10/6 divided by 2/9 is 15/2Practice 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 1/2 divided by 8?91 divided by what equals 1?What divided by 72 equals 95?What is 16/17 divided by 12/9?What is 30 divided by 14/3?