Q:

What is 26/45 Divided by 46/15?

Accepted Solution

A:
What is 26/45 Divided by 46/15?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, 26, and its denominator, 45. We also have the second fraction, or the divisor, which can be broken down into its numerator, 46, and its denominator, 15:Numerator of the dividend: 26Denominator of the dividend: 45Numerator of the divisor: 46Denominator of the divisor: 15So, what is 26/45 divided by 46/15? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 26/45 Divided by 46/15, Step-by-stepFirst let’s set up the problem:2645÷4615\frac{26}{45} ÷ \frac{46}{15}4526​÷1546​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, 26, by the denominator of the divisor, 15.26 x 15 = 390This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 45, by the numerator of the divisor, 46:45 x 46 = 2070This 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:3902070\frac{390}{2070}2070390​ = 1369\frac{13}{69}6913​To display the answer to 26/45 divided by 46/15 in decimal form, you can continue to divide the numerator of the answer, 390, by the denominator, 2070. The answer can be rounded to the nearest three decimal points, if needed:3902070=0.188\frac{390}{2070}= 0.1882070390​=0.188So in decimal form, 26/45 divided by 46/15 = 0.188And in fractional form, 26/45 divided by 46/15 is 13/69Practice 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 5/19 divided by 60?38 divided by what equals 1?What divided by 20 equals 39?What is 4/20 divided by 3/10?What is 4 divided by 9/16?