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How to express .875 as a fraction?





Let’s check, how to express the decimal number 0.875 as a fraction.

.875 as a fraction

You might be wondering why it is important to learn this concept. Well, it helps develop your mathematical flexibility, enabling you to switch between forms of numbers according to the context. This can simplify calculations and problem-solving. So, let’s jump right in and take a look at the process.

Steps to Express 0.875 as a Fraction

  1. Understand the Decimal Place: To begin, let’s remind ourselves what the decimal 0.875 represents. The first digit after the decimal point stands for tenths, the second stands for hundredths, and the third stands for thousandths. Hence, 0.875 means eight hundred and seventy-five thousandths.
  2. Express as a Fraction: Now, we can simply take the value of the decimal and write it as a fraction. In this case, 0.875 becomes 875/1000.
  3. Simplify the Fraction: The final step is to simplify the fraction. Both 875 and 1000 have common factors, and one of the largest is 125. If we divide both the numerator and denominator by 125, we get the fraction 7/8. This is the simplest form of the fraction that represents the decimal 0.875.

.875 as a fraction

0.875 as a fraction

Examples of 0.875 as a Fraction

Let’s now apply the above steps to some examples:

  • 0.875 as a simple fraction:As discussed, when you simplify 0.875 as a fraction, it becomes 7/8. This fraction cannot be simplified further as 7 and 8 have no common factors other than 1.
  • 0.875 in a real-life scenario:Suppose you’re baking a cake, and the recipe calls for 0.875 cups of sugar. Understanding this as a fraction can be more practical. As we learned, 0.875 is 7/8. So instead of measuring out 0.875 cups, you can simply use a measuring cup to measure 7/8 cups of sugar. Much easier, right?

In conclusion, understanding decimals and fractions and being able to convert between the two is a vital skill in mathematics and in real-world scenarios. Not only does this skill help us understand numbers more deeply, but it also simplifies our problem-solving process in certain situations.

Don’t worry if you don’t get it right the first time. Remember, practice makes perfect. Continue practicing with other decimals, and you’ll have it down in no time. Happy learning!


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