Divide Fractions By Whole Numbers free online Math quizzes
Teaching division of fractions by whole numbers
Dividing fractions by whole numbers is a way to find out how many parts of a certain size you will have if you divide them into equal groups. To divide a fraction by a whole number, you need to use the following steps:
- Write the fraction over the whole number.
- Flip the whole number, or turn it into its reciprocal, which is the same thing as dividing 1 by the whole number.
- Multiply the fraction by the reciprocal.
For example, let’s say you want to divide 2/3 by 2: 2/3 / 2 You need to flip the whole number 2, which will give you 1/2 Then, you multiply the fraction 2/3 by the reciprocal 1/2. 2/3 * 1/2 = (2 x 1)/(3 x 2) = 2/6 = 1/3
Another example 4/5 / 3 = 4/5 x 1/3 = 4/5 * 1/3 = 4/15
You can also think of it as breaking down the fraction into parts defined by the whole number. For example, if you have 4/5 of a pizza, and you want to know how many slices of pizza you will have if you divide it into 3 equal parts, you would write: 4/5 / 3 = (4/5) x (1/3) = 4/15
It’s important to remember that when you divide a fraction by a whole number, the answer is still a fraction. So when we do 2/3 / 2, the answer is 1/3. It’s not 1.
Another thing to remember is that when you divide a fraction by a whole number, you are essentially multiplying the fraction by the reciprocal of that whole number.
Also, when you divide a fraction by a whole number, it’s important to simplify the final answer as much as possible by dividing both the numerator and denominator by any common factors they may have.
Overall, dividing fractions by whole numbers is a way to find out how many parts of a certain size you will have if you divide them into equal groups. By following the steps outlined above, you can easily divide fractions by whole numbers and understand how they relate to each other.