# how to multiply improper fractions with whole numbers

The Best Free Printable 5th Grade Math Worksheets (and Answers! Start by rewriting the whole number (3 in this example) as a fraction, (3/1) as follows…, (You can do this because any number divided by one is always equal to itself), Now, because you are multiplying a fraction by a fraction, you can apply the rule and solve as follows…. On the other hand, mixed numbers, also known as compound fractions, are numbers that have both a whole number and a fraction. Often the resulting product will not be in lowest terms, so you must also simplify. Change mixed numbers to improper fractions. Multiplying Fractions with Whole and Mixed Numbers 2 - Cool Math has free online cool math lessons, cool math games and fun math activities. Anthony is the content crafter and head educator for YouTube's MashUp Math. And since (6/7) can not be simplified, you can conclude that: Wait! $$1\frac{2}{3}$$ is known as a mixed number, because it is made up of a whole number and a fraction. For example, let's find the product: 9 x: 1: 7 . Definition: Positive Improper Fractions. Multiply these […] Your answer will be an improper fraction. Share your thoughts in the comments section below! Now just go ahead as normal. First, write 9 as a fraction. Make the whole number a fraction, by putting it over 1. Convert the mixed number $10{\Large\frac{2}{7}}$ to an improper fraction. It's very difficult, or at least it's not easy for me, to directly multiply mixed numbers. No problem. For example, suppose you want to convert the mixed number to an improper fraction. Multiply the denominators of each fraction by each other (the numbers on the bottom). 2 1 5 = 10 5 + 1 5 = 11 5. Step, by step it is: Convert Mixed to Improper Fractions: 1 1 2 = 2 2 + 1 2 = 3 2. Multiplying Polynomials: The Complete Guide. Example. 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Cross cancel if you can. Divide to get a mixed number as your final answer. For example, suppose you want to multiply 1-3/5 by 2-1/3. Worksheets > Math > Grade 4 > Fractions > Completing a whole number (improper fractions). If you divide the fraction by 2, you get: 3/16. Multiply the whole number by the denominator. = 5 x 11 = To convert a mixed number to an improper fraction, multiply the denominator by the whole number and add the numerator. Step #2: Multiply the bottom numbers (denominators): 6 x 16 = 96. The only way is to convert the mixed numbers to improper fractions and multiply or divide as usual. Then, find the reciprocal of the whole number by switching the numerator and denominator. 3. Check to be sure the answer makes sense. Multiply tops and bottoms: 2 3 × 5 1 = 2 × 5 3 × 1 = 10 3. Before we explore how to multiply fractions, let’s do a super quick review of how to multiply a fraction by a fraction (understanding how to apply the rule below will make multiplying fractions and whole numbers much easier for you! Below are the general rules for multiplying mixed numbers: Convert the mixed numbers to improper fractions first. (Never miss a Mashup Math blog--click here to get our weekly newsletter!). You can often find me happily developing animated math lessons to share on my YouTube channel . Students must find the fraction missing from the addition equation; all sums are whole numbers between 1 and 10. Positive improper fractions are always greater than or equal to 1. Example: 5 is also 5 1. You've encountered lots of whole numbers before now. When you “divide” fractions by whole numbers, you actually multiply the fraction by the reciprocal of the whole number. On the number line, improper fractions lie to the right of (and including) 1. What would happen if the answer could be simplified? 2. Convert to a mixed number. To multiply a fraction by a whole number, write the whole number as a fraction with 1 as the denominator. 5 x 7 = 35 Multiply the denominator (7) by the whole number, (5) 35 +2 = 37 Add that product, (35), to the numerator (2) of the fraction. This is simple if you are multiplying by a whole number, because the denominator of the whole number is 1. Worksheets: Completing a whole number (adding improper fractions) Below are six versions of our grade 4 fractions worksheet on adding improper fractions in order to complete a whole number. Then multiply as … Let’s address the situation in the next example…, Start by rewriting the whole number (5 in this example) as the fraction (5/1)…. Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. © MashUp Math, LLC | All Rights Reserved | Privacy Policy | Copyright Information |Contact, The Best Free Math Worksheets for 1st Grade Students. Reduce the fraction to a mixed number. To multiply a fraction with a whole number, represent the whole number as a fraction by putting 1 in the denominator. In this example, (45/10) is not the final answer because it can be simplified. So, you need a little extra help in the fractions department? To do so, multiply the numerators and denominators of the two fractions. 5 Awesome (and 100% Free) 6th Grade Algebra Resources! ), Notice that the fraction (3/8) can not be simplified (since 8 and 3 do not have a common divisor), Looking for More Help With Multiplying a Fraction by a Fraction? Do you Need Common Denominators to Multiply Fractions? The answer becomes your … For 3/8 x 32/1, multiply 8 x 1. 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. Place the result over the line and leave the denominator as-is. However manual calculations can also be done in following three steps: In the first step you have to multiply the given whole number with present denominator. Now that you are familiar with the rule for multiplying a fraction by a fraction, you can use it to help you easily multiply a fraction by a whole number.  X Research source For example, if you start with 1 1/2 x 4 4/7, change them to improper fractions. 9: 1: x: 1: 7 = 9 x 1: This complete guide to multiplying fractions by whole numbers includes several examples, an animated video mini-lesson, and a free worksheet and answer key. 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