When we talk about a decimal fraction, we are here talking about a denominator that is either 10 or a multiple of 10. A fraction is a combination of a numerator and a denominator, divided by a bar: while the numerator is on the upper side of the bar and the denominator is on the lower side.

For example, The given 0.25 is a Decimal Fraction.

How to Multiply a Decimal Fraction:

In order to multiply a decimal fraction, we need to follow some important steps as follows –

  1. First, we need to count the decimal places of each given number.
  2. Then, place each of the decimal numbers starting from right to left.

Here, we are given 0.23 x 50.26 to solve:

  1. So now, our first step will be to write it down in a correct manner as follows:

  0.23

       x  50.26

  1. The above-given format is like, before the decimal, the units place of one number should be placed exactly under the units place of the second given number.

While, after the decimal point is like, the number should be placed in their increasing number of places.

  1. Because, before the decimal point, numbers are considered as the numerator for a fraction. While, after the decimal point, numbers are considered denominators for a fraction.

We’ll learn how to determine the decimal number multiplied by another decimal number by performing a multiplication operation.

A decimal number multiplied by another decimal number is equivalent to a decimal number. When we are multiplying two decimal numbers, first we need to ignore their decimal place and multiply them in general. Then, the decimal point is inserted into the product such that the product’s decimal places match the total of the provided numbers’ decimal places.

Few tricks to solve the questions:

  • Eliminate the decimals from the numbers, then multiply the two whole numbers. Write down the product as it is and don’t bother about the decimal.
  • Count the no. of digits after the decimal on both the numbers and add them. Let the resulting number be ‘n’. After that, place a decimal point leaving ‘n’ digits.  
  • Remember that If you want to count digits, start from a number’s unit place.

Let us consider the subsequent example of the multiplication of a decimal number by a decimal number.

  1. a) 1.2 x 1.2

We are going to perform multiplication and ignore the decimal mark.

  12

x 12

    24

+ 120

   144
Now we get 144 as the answer
Now add the decimal mark and from the right-hand side skip that many places in the product.

Therefore, 1.2 × 1.2 = 1.44

Addition And Subtraction Of Decimals

 When adding or subtracting whole numbers, you just line them up on the right and add (or subtract). 

For example:

25 + 13 = 38

or

59 – 22 = 37

Numbers that include decimals are different. You can’t just line them up and add. If you do that, you end up with the following:

 41.78 + 13.2 is equal to 43

It’s easy to see how this is not right. When adding or subtracting with decimals, the numbers need to line up along the decimals. It doesn’t matter how many numbers are on either decimal side. That is where they need to line up to get the correct answer. So let’s do the problem from above correctly. If you need to, you can add zeros at the end of a number to ensure there are two numbers in each column.

 41.78 + 13.20 is equal to 54.98.

As long as each of the numbers you are adding or subtracting has the same number of decimal places, the addition or subtraction is pretty straightforward.

In-fact, adding (subtracting) numbers having the same denominator is fairly straightforward. We just need to add or subtract the numerators. After that, divide it by the denominator.

Finding a common denominator can be tricky when dealing with fractional addition and subtraction. In order to identify a common denominator, multiply the two denominators and then transform the numerators to generate comparable fractions. This strategy, on the other hand, is easy to grasp theoretically. Take the above mentioned addition, for instance.

Conclusion

From this article, now we know how to add, subtract, multiply or divide two decimals or fractions. We have included the most straightforward ways to calculate and reach the required answers.