Convert.9375 To A Fraction

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Converting Decimal to Fraction

Converting a decimal to a fraction is a fundamental concept in mathematics. It involves expressing a decimal number as a ratio of two integers, where the numerator is the decimal part and the denominator is the place value of the decimal part.

In this article, we will discuss how to convert the decimal number 0.9375 to a fraction.

Step-by-Step Conversion

To convert 0.9375 to a fraction, we can follow these steps:

Step 1: Write the Decimal as a Fraction

We can write 0.9375 as a fraction by placing the decimal part over the place value of the decimal part, which is 10,000 (since there are 4 decimal places).

0.9375 = 9375/10,000

Step 2: Simplify the Fraction

We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 9375 and 10,000 is 625.

9375 ÷ 625 = 15 10,000 ÷ 625 = 16

So, the simplified fraction is:

15/16

Final Answer

The decimal number 0.9375 can be converted to the fraction 15/16.

Key Takeaways

• Converting a decimal to a fraction involves expressing the decimal number as a ratio of two integers.
• The numerator is the decimal part, and the denominator is the place value of the decimal part.
• Simplifying the fraction by dividing both the numerator and denominator by their GCD can help reduce the fraction to its simplest form.

FAQs

We hope you found this article helpful in converting the decimal number 0.9375 to a fraction. If you have any questions or need further assistance, please don't hesitate to ask.