0.875 As A Fraction In Simplest Form

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Converting decimal numbers to fractions is an essential math skill that can be applied in various real-life situations, from cooking and finance to science and engineering. In this article, we'll explore how to convert the decimal number 0.875 into a fraction in its simplest form.

Understanding Decimal Numbers

Decimal numbers are a way of expressing fractions using a point (.) to separate the whole part from the fractional part. The digits after the decimal point represent the fractional part of the number. In the case of 0.875, the whole part is 0, and the fractional part is 875.

Converting 0.875 to a Fraction

To convert 0.875 to a fraction, we can use the following steps:

1. Identify the place value of the last digit after the decimal point. In this case, the last digit is 5, which is in the thousandths place.
2. Determine the denominator of the fraction based on the place value. Since the last digit is in the thousandths place, the denominator will be 1000.
3. Write the decimal number as a fraction with the denominator. 0.875 = 875/1000

Simplifying the Fraction

The fraction 875/1000 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). To find the GCD, we can use the following steps:

1. List the factors of the numerator and the denominator.
   • Factors of 875: 1, 5, 7, 25, 35, 125, 175, 875
   • Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
2. Identify the common factors. The common factors of 875 and 1000 are 1, 5, 25, and 125.
3. Determine the greatest common divisor (GCD). The GCD of 875 and 1000 is 125.

Now, we can simplify the fraction by dividing both the numerator and the denominator by their GCD:

875 ÷ 125 = 7 1000 ÷ 125 = 8

So, the simplified fraction is 7/8.

Practical Applications

Converting decimal numbers to fractions is an essential skill in various real-life situations. Here are a few examples:

• Cooking: When following a recipe, you may need to convert decimal numbers to fractions to measure ingredients accurately. For instance, if a recipe calls for 0.875 cups of flour, you can convert it to a fraction (7/8 cups) to ensure you use the right amount.
• Finance: In finance, decimal numbers are often used to represent percentages or interest rates. Converting these numbers to fractions can help you understand the values better. For example, an interest rate of 0.875% can be converted to a fraction (7/8%) to make it easier to calculate interest.
• Science and Engineering: In scientific and engineering applications, decimal numbers are often used to represent measurements or calculations. Converting these numbers to fractions can help you perform calculations more accurately. For instance, if you need to calculate the area of a circle with a radius of 0.875 meters, you can convert it to a fraction (7/8 meters) to get a more accurate result.

Conclusion: Simplifying Decimals to Fractions

In conclusion, converting decimal numbers to fractions is a valuable math skill that can be applied in various real-life situations. By following the steps outlined in this article, you can convert the decimal number 0.875 to a fraction in its simplest form, which is 7/8. Remember to always simplify fractions by dividing both the numerator and the denominator by their greatest common divisor (GCD) to get the simplest form.

We hope this article has helped you understand how to convert decimal numbers to fractions. If you have any questions or need further clarification, please don't hesitate to ask. Share this article with your friends and family to help them improve their math skills.