Multiplying fractions

Multiplying fractions

Multiplication fractions for a natural number

To multiply a fraction by a number, the numerator need to multiply the number and denominator remain unchanged.

Example of multiplying fractions for a natural number

Example 1: Find the product of the fraction on an integer (multiply a fraction by a natural number): for


Multiplying fractions with different denominators

To add two fractions with different denominators, you need to:

Example multiplication of fractions with different denominators

Example 2: Multiply two fractions with different denominators: and



Multiplication of mixed numbers

To multiply two mixed numbers, you need to:

Examples of adding mixed numbers

Example 3: Multiply the common fraction by a mixed number: and


Example 4 Multiply mixed number by a natural number: and


Example 5: Multiply mixed numbers: and


Multiplying decimals

To multiply two decimals, you should:

Examples of multiplying decimals

Example 1: Multiply fractions: 13,2 and 0.2.

After completing the multiplication, ignoring the commas, we get: .

Separate decimal point right as many digits as is the decimal point in both factors together, that is two digits .

Consider other examples of multiplication of decimal numbers:

Example 2:

Example 3:

Multiplying decimals and integers

The product of decimals and natural numbers is called a sum of terms, each of which is equal to the given decimal, and the number of summands is equal to this positive integer.

Tomultiply a decimal fraction by a natural number, you need to:

  • multiply it by that number, ignoring the decimal point;
  • in the resulting product to separate the decimal point as many digits to the right, how many of them separated by a comma in decimal fractions.

Multiplying decimals by 10, 100, 1000, etc.

Tomultiply a decimal fraction by 10,100,1000,etc., should:

  • in this fraction it is necessary to move the decimal point that many digits to the right, how many zeros is in the multiplier after one.

Example 4:

If the result is fewer digits than necessary to separate with a comma, ahead write zero or several zeros.

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