Division of a Decimal by a Decimal

Division of a decimal by a decimal are discussed here.


1. 14.7 ÷ 2.1

Solution:

14.7 ÷ 2.1

[Count the number of decimal digits in the divisor and we observe that after decimal there is 1 number so we divide the number by 10.]

= 147/10 ÷ 21/10

= 147/10 × 10/21 [reverse it to multiplication]

= (147 × 10)/(10 × 21)

= 1470/210



Now divide the numbers as usual.











Therefore, 14.7 ÷ 2.1 = 7



2. 1.296 ÷ 0.108

Solution:

1.296 ÷ 0.108

[Count the number of decimal digits in the divisor and we observe that after decimal there are 3 numbers so we divide the number by 1000]

= (1296/1000) ÷ (108/1000)

= (1296/1000) × (1000/108)[reverse it to multiplication]

= (1296 × 1000)/1000 × 108)

= 1296000/108000

Now divide the numbers as usual.









Therefore, 1.296 ÷ 0.108 = 12



Alternative method of solving division of a decimal by a decimal

RULES

(i) Count the number of decimal digits in the divisor.

(ii) Move the decimal in dividend that many places to the right.

(iii) Write the divisor without the decimal.

(iv) Now divide the numbers as usual.


For example:

3. 8.005 ÷ 0.05

Solution:

8.005 ÷ 0.05

[Count the number of decimal digits in the divisor.]







[Move the decimal in dividend that many places to the right.]

800.5 ÷ 5

[Write the divisor without the decimal.]

















[Now divide the numbers as usual.]

Therefore, 8.005 ÷ 0.05 = 160.1



4. 76.363 ÷ 0.7

Solution:

76.363 ÷ 0.7

[Count the number of decimal digits in the divisor.]







[Move the decimal in dividend that many places to the right.]

763.63 ÷ 7

[Write the divisor without the decimal.]

















[Now divide the numbers as usual.]

Therefore, 76.363 ÷ 0.7 = 109.09

● Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Subtraction of Decimal Fractions.

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Division of a Decimal by a Whole Number.

Division of Decimal Fractions

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.









5th Grade Numbers Page

5th Grade Math Problems

From Division of a Decimal by a Decimal to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Fundamental Geometrical Concepts | Point | Line | Properties of Lines

    Apr 18, 24 02:58 AM

    Point P
    The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples.

    Read More

  2. What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral

    Apr 18, 24 02:15 AM

    What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.

    Read More

  3. Simple Closed Curves | Types of Closed Curves | Collection of Curves

    Apr 18, 24 01:36 AM

    Closed Curves Examples
    In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves.

    Read More

  4. Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles

    Apr 18, 24 12:31 AM

    Tangrams
    Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o…

    Read More

  5. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Apr 17, 24 01:32 PM

    Duration of Time
    We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.

    Read More