The mixed number is converted into an improper fraction and the whole number is written as a fraction with denominator 1. Division of the fractions is converted into a multiplication operation by multiplying the improper fraction with the reciprocal of the whole number.
Full Answer
How to turn a mixed number into a whole number?
Steps to Round off Mixed Number to the Nearest Whole Number
- Get any mixed fraction.
- Convert the mixed number into an improper fraction of fraction.
- Divide the numerator value by the denominator and note down the decimal number.
- If the number to the right of the decimal point is equal to 0.5 or more, then add 1 to the integer.
Is a mixed number always greater than a whole number?
A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers. Look at the given image, it represents a fraction that is greater than 1 but less than 2. It is thus, a mixed number. Some other examples of mixed numbers are Parts of a mixed number
What are the steps to dividing mixed numbers?
The steps to divide the mixed numbers are as follows:
- The given mixed numbers are converted to improper fractions.
- The reciprocal of the second fraction is found.
- The two fractions are now multiplied.
- They are further simplified to get the lowest form.
- If the result is an improper fraction, then it is again converted to a mixed fraction.
How do you calculate a mixed number?
What is mixed number in math?
- Change all the mixed numbers to improper fractions. …
- Reduce the fractions. …
- Cross out any common factors. …
- Multiply the numerators together and the denominators together.
- Reduce the answer.
How to find the whole number of a mixed number?
Divide the numerator by the denominator. If there is no remainder, then your answer is a whole number rather than a mixed number, and you need not do anything further. Likely, though, you will have a remainder. Set this aside for now. The quotient you found when Dividing the numerator by the denominator will be the whole number of your mixed number.
What would happen if the divisor was a mixed number instead of a whole number?
If the divisor had been a mixed number instead of a whole number, you would convert both mixed numbers to improper fractions, invert the second improper fraction, and multiply it by the first improper fraction to get your answer. Reduce if possible.
How to divide mixed fractions?
To divide mixed fractions, start by converting them to improper fractions. Then, find the reciprocal of the second improper fraction by flipping the numerator and denominator. Once you've found the reciprocal, multiply the numerators in both fractions and then multiply the denominators.
How to divide a mixed number into an improper fraction?
Then do the division: since we're dividing by a whole number, just divide the numerator by the whole number, and leave the denominator alone: 9/4 ÷ 3 = 3/4, your final answer. If the divisor had been a mixed number instead of a whole number, you would convert both mixed numbers to improper fractions, invert the second improper fraction, and multiply it by the first improper fraction to get your answer. Reduce if possible. (You could do the above example this way, too, if you wanted: convert the whole number 3 to an improper fraction, 3/1. Invert it to 1/3. Multiply it by 9/4: (9/4) (1/3) = 9/12 = 3/4.)
How to find the numerator of an improper fraction?
Add the numerator to the product. Do this for both mixed numbers. This sum will be the numerator of your improper fraction.
How to divide 34 by 5 1/2?
You would first follow the steps above to divide 34 by 5 1/2: 5 x 2 = 10 10 + 1 =11 So, 5 1/2 as an improper fraction is 11/2. 32 is a whole number, so converting it to a fraction, you get 32/1. So, your problem is now 32/1 divided by 11/2. Take the reciprocal of 11/2, then multiply the fractions. 32/1 x 11/2 = 352/2 Now you need to multiply 352/2 x 21/8 = 7392/16 Next you need to simplify. 7392 and 16 are both divisible by 16, so 7392/16 = 462/1, which simplifies to just 462.
What is a fraction that is multiplied by its reciprocal?
Any fraction multiplied by its reciprocal is equal to 1. For example, 5/10 x 10/5 = 50/50 = 1. When you divide by a fraction, you want to cancel the second fraction by changing it to a 1. So, to do this, you have to multiply it by its reciprocal (or flip it). But, if you're going to multiply the second fraction by its reciprocal, you also have to multiply the other number by its reciprocal. So when you "flip and multiply" you are really cancelling out the second fraction, which leaves you with just multiplying the first fraction by the second fraction's reciprocal.
What is a mixed number?
Enter mixed numbers, whole numbers or fractions in the following formats: Mixed numbers: Enter as 1 1/2 which is one and one half or 25 3/32 which is twenty five and three thirty seconds.
How many digits are in a whole number?
Whole numbers: Up to 3 digits in length. Fractions: Enter as 3/4 which is three fourths or 3/100 which is three one hundredths. You can enter up to 3 digits in length for each the numerators and denominators (e.g., 456/789).
How to divide a mixed number?
Here are the steps followed when dividing mixed numbers: 1 Begin by converting each mixed fraction to an improper. 2 Invert or flip upside down the improper fraction that is the divisor 3 Multiply the first fraction by the second fraction. Multiplication of numerators and denominators are done separately. 4 Convert the resultant fraction into a mixed number if it is improper. 5 Simplify the mixed number to its lowest terms possible.
How to calculate total number of logs cut?
Total number of logs cut can be calculated by dividing 25 m by 1 2 / 3 = 25 ÷ 1 2 / 3
Which factor does the numerator and denominator have?
Both the numerator and denominator have a common factor 3 , and therefore simplify the fraction to its lowest terms.
