Multiplying-mixed-fractions

Multiplying mixed fractions quiz

Test your skills and practice math through this quiz multiplying mixed fractions.

How to multiply mixed fractions math quiz online

This is a free interactive online math exercise on how to multiply mixed fractions. This math quiz is a solving and matching exercise with math problems on one side and answers on the other. Children have to solve each problem and find the correct answer. This math game will also serve as a good classroom or homeschool test on fractions for kids in 3rd, 4th, 5th, 6th and 7th grades. After taking this test, print out more worksheets on this website and get more practice.

A mixed fraction, also known as a mixed number, is a number that combines a whole number and a fraction. For example, 3 1/2 is a mixed fraction that represents the number three and a half. Multiplying mixed fractions is similar to multiplying regular fractions, but with an extra step to convert the mixed fraction to an improper fraction first.

To convert a mixed fraction to an improper fraction, follow these steps:

  1. Multiply the whole number part of the mixed fraction by the denominator of the fraction part.
  2. Add the numerator of the fraction part to the product from step 1.
  3. Write the sum from step 2 as the new numerator and keep the denominator the same.

For example, to convert 3 1/2 to an improper fraction, we would:

  1. Multiply 3 (the whole number part) by 2 (the denominator of the fraction part), which gives us 6.
  2. Add 1 (the numerator of the fraction part) to 6, which gives us 7.
  3. Write 7 as the numerator and 2 as the denominator, giving us the improper fraction 7/2.

Now that we have converted the mixed fractions to improper fractions, we can multiply them just like we would with regular fractions.

For example, to multiply 3 1/2 x 2 1/3, we would:

  1. Convert 3 1/2 to the improper fraction 7/2 and 2 1/3 to the improper fraction 7/3.
  2. Multiply the numerators (7 x 7 = 49) and the denominators (2 x 3 = 6), giving us the fraction 49/6.
  3. Simplify the fraction by dividing the numerator and denominator by a common factor. In this case, 49 and 6 share a common factor of 7, so 49/6 becomes 7/1, which can be written as the mixed number 7.

So, 3 1/2 x 2 1/3 = 7.

You can also multiply mixed fractions by whole numbers and regular fractions. It’s the same process, all you need is to remember the order of operations:

  1. Multiply the whole number part of mixed fraction by the fraction
  2. Multiply numerators, multiply denominators
  3. Simplify the fraction

It’s good to practice these with simpler numbers first, so you can easily see the pattern and it will be easier to apply with bigger numbers.

It’s also important to note that you can’t multiply mixed fractions as you would with whole numbers. Example 2 mixed fractions 3 1/2 x 2 1/3 can’t be just written as (3×2)+(1×1)/(2×3)= 6+1/6=6 1/6.