What is 38/58 Divided by 7/4?

Accepted Solution

What is 38/58 Divided by 7/4?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, 38, and its denominator, 58. We also have the second fraction, or the divisor, which can be broken down into its numerator, 7, and its denominator, 4:Numerator of the dividend: 38Denominator of the dividend: 58Numerator of the divisor: 7Denominator of the divisor: 4So, what is 38/58 divided by 7/4? Let’s work through the problem, and find the answer in both fraction and decimal forms.What is 38/58 Divided by 7/4, Step-by-stepFirst let’s set up the problem:3858÷74\frac{38}{58} ÷ \frac{7}{4}5838​÷47​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, 4.38 x 4 = 152This will become the numerator of the answer.Step 2:Then, multiply the denominator of the dividend, 58, by the numerator of the divisor, 7:58 x 7 = 406This 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:152406\frac{152}{406}406152​ = 76203\frac{76}{203}20376​To display the answer to 38/58 divided by 7/4 in decimal form, you can continue to divide the numerator of the answer, 152, by the denominator, 406. The answer can be rounded to the nearest three decimal points, if needed:152406=0.374\frac{152}{406}= 0.374406152​=0.374So in decimal form, 38/58 divided by 7/4 = 0.374And in fractional form, 38/58 divided by 7/4 is 76/203Practice 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 20/10 divided by 50?98 divided by what equals 24?What divided by 1 equals 31?What is 2/17 divided by 15/12?What is 82 divided by 8/3?