Multiplying Fractions by Whole Numbers
- 1 Rewrite the whole number as a fraction. [6] To rewrite a whole number as a fraction, simply place the whole number over 1. ...
- 2 Multiply the numerators of the two fractions. [8] ...
- 3 Multiply the denominators of the two fractions. [10] ...
- 4 Reduce the answer if possible. Because your answer will probably be an improper fraction, simplify the answer to its lowest terms. ...
How do you multiply a fraction with a whole number?
0:396:14Multiplying Whole Numbers and Fractions | Math with Mr. J - YouTubeYouTubeStart of suggested clipEnd of suggested clipOnce we have the whole number written as a fraction we bring down the rest of the problem. So theMoreOnce we have the whole number written as a fraction we bring down the rest of the problem. So the multiplication. And then the one-half.
How do you multiply fractions 6th grade?
0:163:11Multiplying Fractions Tutorial For 4th, 5th, 6th, 7th Grades - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe simply multiply the numerators. And multiply the denominators. So four times two is eight fiveMoreWe simply multiply the numerators. And multiply the denominators. So four times two is eight five times three is fifteen.
What is the general rule for multiplying fractions and whole numbers?
Write a general rule for multiplying fractions and whole numbers. Words Multiply the numerator of the fraction by the whole number. Then write the product over the denominator.
How do you multiply fractions with whole numbers and mixed numbers?
0:246:37Multiplying Mixed Numbers and Whole Numbers | Math with Mr. JYouTubeStart of suggested clipEnd of suggested clipThe first thing we need to do is change any mixed numbers or whole numbers to improper fractionsMoreThe first thing we need to do is change any mixed numbers or whole numbers to improper fractions that way we have numerators top numbers and denominators bottom numbers and we can multiply.
How do you multiply fractions step by step?
The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
How do we multiply fractions?
1:185:41Math Antics - Multiplying Fractions - YouTubeYouTubeStart of suggested clipEnd of suggested clipNext we multiply the top numbers 2 times 4 equals 8. So 8's the top number of our answer. And lastMoreNext we multiply the top numbers 2 times 4 equals 8. So 8's the top number of our answer. And last we multiply the bottom numbers 3 times 5 equals. 15. So 15 is the bottom number of our answer.
How do you simplify fractions with whole numbers?
0:302:07Mathematics : Reducing Mixed Fractions to the Lowest TermsYouTubeStart of suggested clipEnd of suggested clipSo dividing both numbers by 2 22 divided by 2 is 11 and 6 divided by 2 is 3. And what you want to doMoreSo dividing both numbers by 2 22 divided by 2 is 11 and 6 divided by 2 is 3. And what you want to do simply there is to convert it to a mixed number you can do some simple long division.
What is a fraction with a whole number called?
Answer and Explanation: A number that contains a whole number and a fraction is called a mixed number.
How do you multiply whole numbers?
0:003:29Basic Math - Multiplying whole numbers - YouTubeYouTubeStart of suggested clipEnd of suggested clipTake it one number at a time and multiply it by the entire number up top let's see this process inMoreTake it one number at a time and multiply it by the entire number up top let's see this process in action so let's focus on the bottom number.
How do you multiply fractions and mixed numbers?
0:256:17Multiplying Mixed Numbers and Fractions | Math with Mr. J - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo we want to change any mixed numbers to improper fractions first that way we have a top and aMoreSo we want to change any mixed numbers to improper fractions first that way we have a top and a bottom a numerator and denominator. And then we can multiply.
How do you multiply mixed fractions with dummies?
0:031:49How to Multiply and Divide Fractions in Algebra For Dummies - YouTubeYouTubeStart of suggested clipEnd of suggested clipIt may seem a little weird. But multiplying and dividing fractions. Is actually easier than addingMoreIt may seem a little weird. But multiplying and dividing fractions. Is actually easier than adding or subtracting them.
How do you add a whole number and a fraction?
1:103:03Adding mixed numbers - YouTubeYouTubeStart of suggested clipEnd of suggested clipYou have to do to the top of a fraction so since we multiplied the bottom number by 2 we have toMoreYou have to do to the top of a fraction so since we multiplied the bottom number by 2 we have to multiply. The top number by 2 as well.
What math do 6th graders take?
The major math strands for a sixth-grade curriculum are number sense and operations, algebra, geometry, and spatial sense, measurement, and functions, and probability.
How do you divide fractions 6th grade?
3:406:29Grade 6 Math #4.7, How to divide fractions - YouTubeYouTubeStart of suggested clipEnd of suggested clipSee dividing fractions. So flip the divisor to the reciprocal.MoreSee dividing fractions. So flip the divisor to the reciprocal.
What are the lessons in Grade 6 math?
6th gradeCourse summary.Ratios.Arithmetic with rational numbers.Rates and percentages.Exponents and order of operations.Negative numbers.Variables & expressions.Equations & inequalities.More items...
What is 6th grade algebra?
Sixth grade is the year that students really get started on algebra. They learn how to read, write, and evaluate algebraic expressions and equations in which a letter (also called a variable) stands in for an unknown number. For example, they'll find the value of X in the equation X – 32 = 14.
How to turn 6 into a fraction?
Just as we did when we went over multiplying fractions by whole numbers, turn 6 into a fraction by adding a 1 to the denominator: 6/1
How to make a whole number into a fraction?
Your first step is turning the whole number into its own fraction. This is easy: you just give it a denominator of 1. So, from our example, 6 becomes 6/1. This is true because 6 divided into 1 group still equals 6. This is true for any whole number: 3 = 3/1, 17 = 17/1, etc.
How to make a fraction into a mixed number?
To get the whole number 2 to have the same denominator, make it into a fraction, 2/1, then multiply the top and bottom by 7.
What is the simplest form of a fraction?
The simplest form of the fraction is when the top and bottom of the fraction are the smallest whole numbers they can be. For example, the fraction 18/8 isn’t in its simplest form because it can still be reduced down to 9/4 by dividing both the top and bottom of the fraction by 2. 9/4 is the fraction in its simplest form, ...
How many times does 7 go into 85?
Step 4: Now we have 85/7. It can't be simplified, but it can be made into a mixed number. 7 goes into 85 twelve times, with a remainder of 1. Our final answer is 12 1/7, or 12.14 in decimal form.
What is 3 x 6?
3 x 6 = 18, so now we have the numerator for our answer: 18/__
Is 9/4 a mixed number?
9/4 is the fraction in its simplest form, but you may prefer to change it into a mixed number since 9/4 is greater than 1. 4 goes into 9 twice, with a remainder of 1, so the answer can also be written as 2 ¼. You might also want to give the answer as a decimal.
What does it mean to multiply 2/3 times 6?
let's think a little bit about what it means to multiply 2/3 times 6 one way to think about it is to literally take six two-thirds and add them together this is six two-thirds right over here and if we wanted to actually compute this this would be equal to well we're going to take these six twos and add them together so we could view it as 2 times 6 2 times 6 over 3 2 times 6 over 3 which is the same thing of course as 2 4 6 8 10 12 12 thirds 12 thirds and what is 12 thirds equal to well we could rewrite 12 as so this is equal to we could rewrite 12 as 3 plus 3 plus 3 plus 3 over the yellow 3 and this is going to be the same thing as I'm going to do it like this so I don't have to keep switching colors this is going to be the same thing as 3/3 plus 3/3 plus 3/3 plus 3/3 and each of these are obviously a whole each of these equal 1 that's 1 that's 1 that's 1 and that's 1 so this is going to be equal to 4 so that's one way to conceptualize 2/3 times 6 another way to think of it is as 2/3 of 6 so let's think about that let me draw a number line here and I'm going to draw the number line up to 6 so what I care about is a section of the number line that goes to 6 so that looks pretty good so this is 1 2 3 4 5 & 6 so if we want to take 2/3 of 6 we can think of this whole section of the number line between 0 & 6 as the hole and then we want to take 2/3 of that so how do we do that well we divide it into thirds to three equal sections so that's one equal sections two equal sections and three equal sections we want two of those thirds so we want 1/3 and 2/3 now where does that get us that gets us that gets us to 4 so we get obviously to the same answer would be in a tough situation if somehow we got 2 different answers either way 2/3 times 6 or 6 times 2/3 either way that is going to be equal to 4 but there are two different ways of viewing this this first way is literally viewing it as 2/3 6 times and this way is we're taking a fraction of the number 6 we're going two-thirds of the way to 6 which would get us to 4
What does "of" mean in fractions?
For fractions, “of” usually means “times”. So you can also think of 8 x 1/4 as 1/4 of 8, which is 2. Have a blessed, wonderful day! Comment on Ian Pulizzotto's post “For fractions, “of” usually means “times”.