Content

• Steps
• Advice

Fraction multiplication with whole numbers is very easy to do if you know how to convert whole numbers to fractions. To multiply fractions by whole numbers, just follow these 4 easy steps.

Steps

1. 

   Converts integers to fractions. To write an integer as a fraction, you simply divide that integer by 1.
   • For example, to convert 5 to a fraction, write it as 5/1. In which, 5 is the numerator, 1 is the denominator; the value of the number remains the same.

2. 

   
   
   Multiply the numerator of two fractions together. Multiply the numerator of the first fraction by the numerator of the second, and you will get the numerator of your answer.

3. 

   Multiply the denominator of two fractions together. Similarly, multiplying the denominator of the first fraction by the denominator of the second fraction, which is the denominator of your answer.
   • For example, to multiply the denominator of two fractions 5/1 and 8/10, you would calculate the product of 1 and 10. 1 * 10 = 10, so we have the denominator of your answer of 10.
   • After multiplying the numerator and the denominator of all fractions together, your answer is a fraction with the new numerator and denominator. In this example the result is 40/10.

4. 

   
   
   Reduce fractions. To reduce a fraction, you must return it to its simplified fraction form. You can do this by dividing the numerator and denominator by a common divisor. In the example above, both 40 and 10 are divisible by 10. 40/10 = 4 and 10/10 = 1, so the new answer would be 4/1, or 4.
   • For example, if your answer is 4/6, you can divide both the numerator and the denominator by 2 to get 2/3.
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Advice

• In general, if the problem is mixed, your answer should be mixed, if the problem is not true then your result should be in the form of an actual fraction or a non-true fraction. .
• Place the whole number before the fraction.
• Depending on the ultimate goal of the problem, you can convert nonreal fractions (fractions that have a larger numerator but cannot be divisible by the denominator, so they cannot be reduced to an integer. ) into actual or mixed fractions. For example, 10/4 can be reduced to 5/2 (after dividing both the numerator and the denominator by 2). You can leave it as 5/2 or change it to 2 1/2, depending on you.
• We can do the same calculation with mixed numbers. First, convert the mixed numbers into an untrue fraction; then, do the multiplication as usual; Finally, reduce the fraction (or not) according to your teacher's instructions or your needs.