Q:

What is 31/38 Divided by 23/4?

Accepted Solution

A:
What is 31/38 Divided by 23/4?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, 31, and its denominator, 38. We also have the second fraction, or the divisor, which can be broken down into its numerator, 23, and its denominator, 4:Numerator of the dividend: 31Denominator of the dividend: 38Numerator of the divisor: 23Denominator of the divisor: 4So, what is 31/38 divided by 23/4? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 31/38 Divided by 23/4, Step-by-stepFirst let’s set up the problem:3138÷234\frac{31}{38} ÷ \frac{23}{4}3831​÷423​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, 31, by the denominator of the divisor, 4.31 x 4 = 124This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 38, by the numerator of the divisor, 23:38 x 23 = 874This 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:124874\frac{124}{874}874124​ = 62437\frac{62}{437}43762​To display the answer to 31/38 divided by 23/4 in decimal form, you can continue to divide the numerator of the answer, 124, by the denominator, 874. The answer can be rounded to the nearest three decimal points, if needed:124874=0.142\frac{124}{874}= 0.142874124​=0.142So in decimal form, 31/38 divided by 23/4 = 0.142And in fractional form, 31/38 divided by 23/4 is 62/437Practice 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 14/9 divided by 30?99 divided by what equals 77?What divided by 86 equals 32?What is 3/20 divided by 7/19?What is 39 divided by 4/16?