We will discuss here about the working rule for the conversion of fractions to decimal numbers.

**The rules for converting fraction****s with denominators 10, 100, 1000, etc. into decimal fraction**:

(i) Count the number of zeroes coming after 1 in the denominator.

(ii) Count an equal number of places in the numerator starting from the unit digit then place the decimal point to the left of the digit reached.

**Let us consider some of the following examples;****1.** Convert 819/100 to decimal.

Given, 819/100

We see in 819/1__00__ there are two zeroes in the denominator. Therefore, to convert 819/100 into decimal fraction count two places from the right in the numerator and place the decimal point to the left of the digit.

= 8.__19__

**2.** Convert 6007/1000 to decimal.

Given, 6007/1000

We see in 6007/1__000__ there are three zeroes in the denominator. Therefore, to convert 6007/1000 into decimal fraction count three places from the right in the numerator and place the decimal point to the left of the digit.

= 6.__007__

**3.** Convert 798/10000 to decimal.

Given, 798/10000

We see in 798/1__0000__ there are four zeroes in the denominator. Therefore, to convert 798/10000 into decimal fraction count four places from the right in the numerator and place the decimal point to the left of the digit.

= 0.__0798__**4.** Convert 1794/10 to decimal.

Given, 1794/10

We see in 1794/1__0__ there are one zero in the denominator. Therefore, to convert 1794/10 into decimal fraction count one place from the right in the numerator and place the decimal point to the left of the digit.

= 179.__4__

**5.** Convert 8/100 to decimal.

Given, 8/1__00__

= 0.__08__

**6.** Convert 3/10 to decimal.

Given, 3/1__0__

= 0.__3__

**7.** Convert 5/1000 to decimal.

Given, 5/1__000__

= 0.__005__

**8.** Convert 9/10000 to decimal.

Given, 9/1__0000__

= 0.__0009__**9.** Convert 192/10 to decimal.

Given, 192/1__0__

=19.__2__**10.** Convert 94/1000 to decimal.

Given, 94/1__000__

= 0.__094__

**● Decimal.**

**Expanded form of 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.**

**Problems on Addition of Decimal Fractions**

**Subtraction of Decimal Fractions.**

**Problems on Subtraction of Decimal Fractions**

**Multiplication of a Decimal Numbers.**

**Multiplication of a Decimal by a Decimal.**

**Properties of Multiplication of Decimal Numbers.**

**Problems on Multiplication of Decimal Fractions**

**Division of a Decimal by a Whole Number.**

**Division of Decimal Fractions by Multiples.**

**Division of a Decimal by a Decimal.**

**Division of a whole number by a Decimal.**

**Properties of Division of Decimal Numbers**

**Problems on Division of Decimal Fractions**

**Conversion of fraction to Decimal Fraction.**

**5th Grade Numbers Page **

**5th Grade Math Problems **

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