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Rules to convert fractions to decimals:
Step 1: To make the denominator as multiple of \(10\). Multiply the numerator and denominator by an equivalent number so that the denominator becomes a multiple of \(10\).
Step 2: Now, write only the number present in the numerator and put the decimal point. The number of digits after the decimal is equal to the number of zeros in the denominator.
Example:
1. Convert to decimal number.
Step 1: Multiply numerator and denominator by \(4\). The fraction becomes .
Step 2: There are two zeros in the denominator. Place the decimal point before two digits from the right.
The decimal number is .
2. Convert to decimal number.
Step 1: Here, the denominator is \(1000\), which is a multiple of \(10\).
Step 2: There are three zeros in the denominator. Place the decimal point before three digits from the right.
The decimal number is \(0.014\).
3. Write as a decimal number.
Step 1: Multiply numerator and denominator by \(5\). The fraction becomes .
Step 2: There are two zeros in the denominator. Place the decimal point before two digits from the right.
The decimal number is \(0.1\).
Important!
Every decimal can be written as a fraction.
Every fraction can be written as a decimal.
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