0.875 as a fraction

What does 0.875 as a fraction mean?

When we have a decimal number like 0.875, expressing it as a fraction means representing it as a ratio of two integers. In this case, we want to find the fraction that is equivalent to 0.875.

What is the answer to 0.875 as a fraction?

The answer to 0.875 as a fraction is 7/8.

Is the answer a mixed fraction? Detailed explanation.

No, the answer is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In this case, the fraction 7/8 is already in its simplest form and cannot be further simplified. Therefore, it is not a mixed fraction.

Common problem-solving methods for 0.875 as a fraction.

To convert 0.875 into a fraction, we can follow these steps:

Step 1: First convert it into a fraction with a denominator of 1, which is equal to the decimal itself. So, 0.875 can be written as 0.875/1.

Step 2: Convert the numerator into an integer, multiply by 10, 100, 1000, or any power of 10, and multiply the denominator by the same number. In this case, we can multiply both the numerator and denominator by 1000 to eliminate the decimal point. This gives us 875/1000.

Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 125. Simplifying gives us 7/8.

Step 4: Get the answer. The answer to 0.875 as a fraction is 7/8.

More than 3 solved examples about 0.875 as a fraction and detailed explanation.

Example 1: Convert 0.875 into a fraction.

Solution: Following the steps mentioned above, we can convert 0.875 into a fraction as 7/8.

Example 2: Express 0.875 as a fraction in simplest form.

Solution: By simplifying the fraction 7/8, we find that it is already in its simplest form. Therefore, 0.875 as a fraction in simplest form is 7/8.

Example 3: Convert 0.875 into a mixed fraction.

Solution: Since 0.875 is already a fraction, it cannot be expressed as a mixed fraction. Therefore, 0.875 cannot be converted into a mixed fraction.

What do fractions mean in mathematics?

In mathematics, fractions represent a part of a whole or a division of one quantity by another. They are used to express numbers that are not whole numbers or integers. Fractions are essential in various mathematical operations, such as addition, subtraction, multiplication, and division.

What symbols are used to represent fractions?

The symbols used to represent fractions are the numerator and the denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.

What types of fractions are there?

There are several types of fractions, including proper fractions, improper fractions, mixed fractions, and unit fractions.

• Proper fractions have a numerator that is smaller than the denominator, such as 1/2 or 3/4.
• Improper fractions have a numerator that is equal to or greater than the denominator, such as 5/4 or 7/3.
• Mixed fractions consist of a whole number and a proper fraction, such as 2 1/2 or 3 3/4.
• Unit fractions have a numerator of 1, such as 1/2 or 1/3.

Components of fractions.

A fraction consists of two main components: the numerator and the denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.

What is a decimal? What symbol is used to represent a decimal?

A decimal is a way of representing numbers that are not whole numbers or integers. It is based on the powers of 10 and uses a decimal point to separate the whole number part from the fractional part. The symbol used to represent a decimal is a dot or a period (.), placed between the whole number and the fractional part.

Components of decimals.

Decimals consist of two main components: the whole number part and the fractional part. The whole number part represents the whole units, while the fractional part represents the part of a whole that is less than one.

What are the types of decimals? Question: 0.875 as a fraction

There are several types of decimals, including terminating decimals, repeating decimals, and non-terminating non-repeating decimals.

• Terminating decimals are decimals that end after a finite number of digits, such as 0.5 or 0.75.
• Repeating decimals are decimals that have a repeating pattern of digits, such as 0.333... or 0.142857142857...
• Non-terminating non-repeating decimals are decimals that neither terminate nor have a repeating pattern, such as π (pi) or √2 (square root of 2).

In the case of 0.875, it is a terminating decimal because it ends after three digits. As mentioned earlier, it can be expressed as the fraction 7/8.