7 8/9 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) and denominator (number below). The numerator shows how many parts are considered, here 8, and the denominator shows how many parts make the whole, here it is 9. A decimal is a way to represent the number that is not whole using a decimal point (.) to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 7 8/9 as a decimal?

$7 8/9 as a decimal$

Answer

7 8/9 in decimals can be written as 7.8888….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 7 8/9 in decimal, we will convert the fraction part first. The whole number 7 remains as is. Now, let's convert 8/9 to decimal.

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (9) as the divisor.

Step 2: As 8 is smaller than 9, it can't be divided easily. We will use decimals by adding a 0 to the dividend, which makes it 80, and add a decimal point in the quotient.

Step 3: Now that it is 80, we can divide it by 9. Let's see how many times 9 makes 80.

Step 4: 80 is not a multiple of 9, so we look for the nearest number less than 80, which is 9 × 8 = 72. We subtract 72 from 80 to get 8.

Step 5: Bring down another 0 in the dividend place to make it 80, and then repeat the division process. The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.

The answer for 7 8/9 as a decimal will be 7.8888……

Important Glossaries for 7 8/9 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.