Q:

What is 1/14 Divided by 40/37?

Accepted Solution

A:
What is 1/14 Divided by 40/37?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, 1, and its denominator, 14. We also have the second fraction, or the divisor, which can be broken down into its numerator, 40, and its denominator, 37:Numerator of the dividend: 1Denominator of the dividend: 14Numerator of the divisor: 40Denominator of the divisor: 37So, what is 1/14 divided by 40/37? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 1/14 Divided by 40/37, Step-by-stepFirst let’s set up the problem:114÷4037\frac{1}{14} ÷ \frac{40}{37}141​÷3740​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, 1, by the denominator of the divisor, 37.1 x 37 = 37This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 14, by the numerator of the divisor, 40:14 x 40 = 560This 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:37560\frac{37}{560}56037​ = 37560\frac{37}{560}56037​To display the answer to 1/14 divided by 40/37 in decimal form, you can continue to divide the numerator of the answer, 37, by the denominator, 560. The answer can be rounded to the nearest three decimal points, if needed:37560=0.066\frac{37}{560}= 0.06656037​=0.066So in decimal form, 1/14 divided by 40/37 = 0.066And in fractional form, 1/14 divided by 40/37 is 37/560Practice 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 10/20 divided by 75?36 divided by what equals 13?What divided by 66 equals 87?What is 2/9 divided by 4/3?What is 86 divided by 11/7?