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 
Answer: 
Multiplying fractions with different denominators
To add two fractions with different denominators, you need to:
- multiply the numerators and denominators of fractions;
- reduce the resulting fraction;
Example multiplication of fractions with different denominators
Example 2: Multiply two fractions with different denominators: and 
Answer: 
Multiplication of mixed numbers
To multiply two mixed numbers, you need to:
- convert mixed fractions to improper;
- multiply the numerators and denominators of fractions;
- reduce the resulting fraction;
- If you have received an improper fraction, you convert an improper fraction to a mixed.
Examples of adding mixed numbers
Example 3: Multiply the common fraction by a mixed number:
and 
Answer: 
Example 4 Multiply mixed number by a natural number:
and
Answer: 
Example 5: Multiply mixed numbers:
and
Answer: 
Multiplying decimals
To multiply two decimals, you should:
- perform the multiplication, ignoring the commas
- separate with a comma as many figures on the right, how many of them after the decimal point in both factors together.
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.
