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Converting Decimal To... Worksheet

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Answer

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How To Convert Decimal To Fraction

Example: 0.75 = ?

Solve By Steps

1. Write Down the Decimal:

Start with the decimal number you want to convert. For example, let’s use 0.75.

2. Count the Decimal Places:

​Determine how many digits are to the right of the decimal point. For 0.75, there are 2 decimal places.

3. Create the Fraction:

  • Write the decimal number without the decimal point as the numerator (top number of the fraction). For 0.75, this is 75.

  • Write 1 followed by as many zeros as there are decimal places in the denominator (bottom number of the fraction). For 0.75, there are 2 decimal places, so write 100 as the denominator.

Thus, 0.75 becomes: 75/100​

4. Simplify the Fraction:

  • Find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 75 and 100 is 25.

  • Divide both the numerator and denominator by the GCD: ​75÷25 / 100÷25 = 3/4

5. Result:

The simplified fraction is 3/4​​

Final Answer: 3/4

How To Convert Decimal To Percentage

Example: 0.75 = ?

Solve By Steps

1. Write Down the Decimal:

Start with the decimal number you want to convert. Here, it’s 0.75.

2. Multiply by 100:

To convert a decimal to a percentage, multiply the decimal by 100. This shifts the decimal point two places to the right.

For 0.75, do the following calculation: 0.75 × 100 = 75​​

3. Add the Percentage Sign:

After multiplying by 100, add the percentage sign (%) to the result. So, 75 becomes 75%.

4. Result:

The decimal 0.75 converted to a percentage is 75%.

Final Answer: 75%

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