0
Dividing fractions is not difficult. You just have to remember to first invert (flip) the fraction in the denominator (the bottom number or fraction). Next, multiply the numbers in the numerators (the top numbers) to get the new numerator, and multiply the numbers in the denominators to get the new denominator. That fraction is the answer. Reduce the fraction if it's possible.
I chose an example that can be done in our heads to help make sure that we are doing it correctly. Here is an example we can figure out without just following a series of steps. In math and the other sciences, it is important to understand concepts; to know what is going on instead of just remembering the right steps or a formula. At first, it may be difficult to do this sometimes, but anyone will get better and better at doing it with practice.
Here is the first example problem: What is 3/4 ÷ 3/8? First, note that 3/4 is the same as 6/8. Now, how many times will 3/8 go into 6/8? The answer is twice because 2 x 3/8 = 6/8 = 3/4.
Let's make sure the answer is 2: 3/4/3/8 = 3/4 x 8/3 = (3x8)÷(4x3) = 24÷12 = 2.
Try a harder example: Divide 2/5 by 7/11. It may help to keep things straight if we rewrite the equation in a more mathematical format. 2/5/7/11 = 2/5 x 11/7 =
(2x11)÷(5x7) = 22÷35 or 22/35 in fraction form. This fraction cannot be reduced.
If you have time after you have finished a test, you can go back and check your answers using a calculator. 2/5 = 0.400 and 7/11 = 0.636. Now divide the decimals: 0.400÷0.636 = 0.629. Check your answer by dividing 22 by 35: 22÷35 = 0.629, therefore you know that 22/35 is definitely the right answer.
Add your answer:
Earn +20 pts
How are reciprocals used when dividing fractions?
When dividing fractions, take the reciprocal of the second fraction, and multiply the first fraction by the reciprocal of the second fraction. Example: (a/b)/(c/d)=(a/b)*(d/c)
What is a fraction that can be changed dividing it?
a fraction that can be changed by dividing it is called an improper fraction.
How are multiplying and dividing fractions similar?
Dividing anything by a fraction is the same as multiplying by the fraction's reciprocal. For example, 4 ÷ 2/7 = 4 x 7/2 = 14
How does dividing a number by a fraction involve multiplication?
When dividing by a fraction, the answer is obtained by multiplying by the reciprocal.
Dividing by a fraction less than one?
Multiply by 1/fraction. For example to divide 10 by 2/3, calculate 10 x 3/2
How are reciprocals used when dividing fractions?
When dividing fractions, take the reciprocal of the second fraction, and multiply the first fraction by the reciprocal of the second fraction. Example: (a/b)/(c/d)=(a/b)*(d/c)
What is a fraction that can be changed dividing it?
a fraction that can be changed by dividing it is called an improper fraction.
How are multiplying and dividing fractions similar?
Dividing anything by a fraction is the same as multiplying by the fraction's reciprocal. For example, 4 ÷ 2/7 = 4 x 7/2 = 14
What is a flipped fraction called?
When the numbers within a fraction are reversed, this is called a reciprocal. A reciprocal is useful when dividing fractions - dividing by a fraction is the same as multiplying by its reciprocal.For example, 4 / 2/3 = 4 x 3/2 = 6.
How do you write a fraction in a decimal form?
By dividing its numerator by its denominator as for example 3/4 = 0.75
How does dividing a number by a fraction involve multiplication?
When dividing by a fraction, the answer is obtained by multiplying by the reciprocal.
Dividing one third is the same as multiplying by what number?
Dividing by any fraction is the same as multiplying by that fraction's reciprocal. To find a fraction's reciprocal on a calculator, simply raise the fraction to the power of -1. In this case, dividing by 1/3 is the same as multiplying by (1/3)-1 = 3. For example, 8 / 1/3 = 8 x 3 = 24
Dividing by a fraction less than one?
Multiply by 1/fraction. For example to divide 10 by 2/3, calculate 10 x 3/2
What is the formula for determining a fraction of a number?
Multiple the fraction with the number. For example, what is 1/2 of 10? 1/2 * 10 = 5.
What the algorithm for dividing 2 fraction?
If you mean to divide one fraction by another, the easiest is to multiply your numerator fraction by the reciprocal of your denominator fraction. For example, if: x = (a / b) / (c / d) then: x = (ad)/(bc)
How is dividing rational expressions like multiplying rational expressions?
To divide by a fraction, you simply multiply by the reciprocal. For example, dividing by 3/5 is the same as multiplying by 5/3.
How do you write a percentage as a fraction?
A percentage is a number out of 100. For example, 40% is 40 out of 100, so it can be written as a fraction 40/100. This can then be simplified to 4/10 by dividing the top and bottom of the fraction by 10. Then simplifed to 2/5 by dividing the top and the bottom of the fraction by 2. So 40% as a fraction is 2/5
