Multiplying Fractions By Whole Numbers Examples

To multiply a whole number by a fraction keep the denominator of the fraction the same and multiply the numerator by the whole number. Example 3 Multiplying a Whole Number and a Fraction Do the indicated multiplication.

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Because can go into only times and is left over.

Multiplying fractions by whole numbers examples. Multiplying a fraction by a whole number means multiplying the whole number by the fractions numerator and keeping the denominator the same. For example 7½ is a mixed fraction consisting of a whole number 7 and a fractional part ½. When we multiply a fraction by a whole number we first want to make the whole number into a fraction.

To find the product of a fraction and a whole number write the whole number as a fraction the whole number divided by 1 and apply the multiplication rule as before. Multiply the fractions below together. For example lets find the product.

As we know that multiplication. Example 3 illustrates this approach. 3 x 1 4 can be shown as Algebraically this means 3 x 1 4 1 4 1 4 1 4 1 1 1 4 3 4.

Multiply the bottom numbers. The free printable can be found at the END of this post. Solving word problems with multiplication of fractions by whole numbers Asked by wiki 22112021 in Mathematics viewed by 3 People Write a word problem that can be solved by multiplying a whole number and a fraction.

Then apply the rule and solve as follows. 2 x 12 1. 3 711 3 7 11 2111.

We know that multiplication is repeated addition. Click on the blue get your free printable here button. 5 x 1 5.

That wasnt too bad once you converted the whole number 5 to a fraction. Multiplication of a Fraction by a Whole Number. The following are the key steps when multiplying mixed fractions or a mixed fraction with a proper or improper fraction.

This is an example of a whole number multiplied by a fraction. Consider the product 5 x 2 3. Therefore ½ ½ ½ ½ ½ 111112 52 25.

This can be written as 1 37. Convert the whole number and fraction to an improper fraction by multiplying the whole number by the bottom number in the fraction and adding it to the top number. In this problem we will multiply 23 by the whole number 5.

Since you are multiplying fractions by whole numbers you will need to convert the whole number into a fraction. If a whole number or real number is multiplied with a fraction then it is equal to the real number times the fraction is added. Multiplying Fractions with Whole numbers.

Multiplying Fractions by Whole Numbers Engage grade 4 and grade 5 kids with this bunch of printable multiplying fractions by whole numbers worksheets and reinforce skills in multiplying fractions and mixed numbers by single and two-digit whole numbers. For example 5 27 107. Multiplying Fractions by Whole Numbers.

Multiplying fractions by whole numbers is an easy concept. It can be printed or used digitally in Google Classroom or in programs that Microsoft P. 2 1 4 2 1 2 2 1 4 2 1 2.

So multiplying a fraction by a whole number is equivalent to adding the fraction for the whole number of times. Fraction x Whole Number fracNumeratoroftheFractiontimes WholeNumberDenominatoroftheFraction Therefore frac15times 12 frac1times 125 frac125 Hence the cost of 12 bananas is frac125. To multiply a proper or improper fraction by a whole number first we have to multiply the whole number with by numerator of the fraction keeping the denominator same.

To convert a mixed number into an improper fraction multiply the denominator by the whole number and then add it to the numerator. To multiply a fraction by a whole number write the whole number as a fraction with 1 as the denominator. NOTE We have written the resulting improper fraction as a.

2 1 4 9 4 2 1 4 9 4. This means if we add ½ five times we get the answer. What is 27 x 3.

9 x 1 7 First. Multiply the top numbers. We do that by putting the whole number over Then we multiply like normal.

1 3 9 16 1 9 9. 1 3 9 16 1 9 3 16 9 48. After multiplication simplify the fraction if required to get the product in the simplest form.

001530 Find the product of two fractions and simplify the results Examples 1-6 003126 Solve three fractions and leave answer in lowest terms Example 7-8 004042 Multiplication of mixed numbers Examples 9-11 005009 Multiply the mixed number or whole numbers and simplify Examples 12-13. The process is exactly the same. Multiplying Fraction by a Whole Number.

Simplify if possible by dividing the numerator and denominator of the answer by the same amount. Drew collected bags of leaves. Example 1 - Multiplying Fractions by Whole Numbers.

For example 2 35 2 3 5 65. Convert the mixed numbers into improper fractions. Next we will look at an example where we will multiply a whole number by two fractions.

In this case you can rewrite the whole number 2 as 21 as follows. 5½ means 5 times of ½. 9 48 3 16.

Remember that a 15 4 3 3 4 5 3 4 5 1 3 4 5 3 1 4 5 5 1. 5 goes into 8 once with 3. Grab these 20-word problems that get children multiplying fractions by whole numbers using real life examples.

Our answer 85 cant be simplified any further as an improper fraction where the numerator is larger than the denominator but it can be converted into a mixed number. 4 x 2 8. The cards also encourage children to model.

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