mathway.proWhat is 10 7/8 as a decimal?
Converting fractions to decimals is an essential skill. It bridges the gap between two numeric representations. In this guide, we will detail the process of converting the fraction 10 7/8 to a decimal.
You can select other fractional values to familiarize yourself with the conversion guide.
Often, convert 10 5/6 to a decimal or 11 1/8 to a decimal, depending on the task.
Understanding the Fraction: 10 7/8
A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 10 7/8: 10 is an integer, 7 is the numerator, and 8 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 10 by the denominator 8, and add the numerator 7: (10 × 8 + 7). To get the value of the fraction, the numerator of 87 is divided by the denominator of 8.
Conversion formula (equation):
Solution:
What is a fraction?
A fraction is a mathematical expression of two parts: the numerator on top and the denominator below. It represents partial values, showcasing relationships or comparisons.
What is a decimal?
A decimal is a numeral system with a point. This point divides the integer from its fractional part. It provides a straightforward way to express and work with values less than one.
Conversion Steps:
To get the decimal of 10 7/8, follow these steps:
- Step 1: Representing an improper fraction. Let's start by converting a mixed fraction to an improper fraction. To achieve this, we multiply the integer 10 by the denominator 8, and plus the numerator 7.
- Step 2: Set up the division. Divide the numerator of 87 by the denominator of 8. This will look like the following: 87÷8.
- Step 3: Divide. Perform the division. If using a calculator, simply divide 87 by 8. If doing it manually, apply division.
- Step 4: Identify the decimal. The result of the division will be a decimal value. When 87 is divided by 8, the decimal obtained is 10.875.