Multiply Fractions With Common Denominators Math quiz exercise

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The quiz deals with questions that involve multiplication of two fractions which have a common denominator. It means that both the fractions will have the same denominator and the child has to multiply as he or she used to do for normal multiplication of fractions. The only apparent difference that lies here is that the resulting fraction would have a denominator which is the square of the each of the denominators of the fractions in the multiplication expression. Occasionally it might be necessary to reduce the fraction if there are common factors present between numerator and denominator.

Learn multiplication of two fractions with common denominator

When you want to multiply two or more fractions together, they must have the same bottom number (also called the denominator). This is because the denominator tells you how many parts the whole is divided into, and the numerator tells you how many of those parts you have. To multiply fractions with the same denominator, you simply multiply the numerators together and write the result over the same denominator.

For example, to multiply 1/4 and 3/4, you would take 1 x 3 = 3 and write the result over the same denominator of 4:

1/4 x 3/4 = 3/4

Another example, if you want to multiply 1/5 and 2/5, you would take 1 x 2 = 2 and write the result over the same denominator of 5:

1/5 x 2/5 = 2/5

When you want to multiply fractions with different denominators, you can use a technique called finding a common denominator.

To find a common denominator, you need to find a number that can be divided evenly by the denominators of both fractions. For example, if you want to multiply 2/3 x 4/5, the denominators are 3 and 5. A common denominator that can be divided evenly by both 3 and 5 is 15.

So you will convert 2/3 and 4/5 to have common denominator 15, 2/3 becomes 2/3 x 5/5 = 10/15 4/5 becomes 4/5 x 3/3 = 12/15

Now you can easily multiply these fractions

10/15 x 12/15 = 120/225

The final answer can be reduced to 8/15.

It’s important to remember that when you multiply fractions, you multiply the numerators together and the denominators together. Also it is always good practice to reduce the final fraction to lowest terms, so that the numerator and denominator have no common factors other than 1.