What is 38/40 Divided by 21/31?

Accepted Solution

What is 38/40 Divided by 21/31?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, 38, and its denominator, 40. We also have the second fraction, or the divisor, which can be broken down into its numerator, 21, and its denominator, 31:Numerator of the dividend: 38Denominator of the dividend: 40Numerator of the divisor: 21Denominator of the divisor: 31So, what is 38/40 divided by 21/31? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 38/40 Divided by 21/31, Step-by-stepFirst let’s set up the problem:3840÷2131\frac{38}{40} ÷ \frac{21}{31}4038​÷3121​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, 38, by the denominator of the divisor, 31.38 x 31 = 1178This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 40, by the numerator of the divisor, 21:40 x 21 = 840This 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:1178840\frac{1178}{840}8401178​ = 589420\frac{589}{420}420589​To display the answer to 38/40 divided by 21/31 in decimal form, you can continue to divide the numerator of the answer, 1178, by the denominator, 840. The answer can be rounded to the nearest three decimal points, if needed:1178840=1.402\frac{1178}{840}= 1.4028401178​=1.402So in decimal form, 38/40 divided by 21/31 = 1.402And in fractional form, 38/40 divided by 21/31 is 589/420Practice 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 19/8 divided by 21?19 divided by what equals 80?What divided by 40 equals 71?What is 4/15 divided by 9/5?What is 35 divided by 17/18?