Table Of Contents
104 LearnersLast updated on March 13th, 2025
7 7/9 as a Decimal
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), here 7 represents how many parts out of the whole, and denominator (number below), here it is 9, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional 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 7/9 as a decimal?
Answer
7 7/9 in decimals can be written as 7.7777….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 7 7/9 as a decimal, we will use the division method for the fractional part and then add it to the whole number. Let's see the step-by-step breakdown of the process:
Step 1: Identify the mixed number 7 7/9, where 7 is the whole number, and 7/9 is the fractional part.
Step 2: Convert the fraction 7/9 to a decimal by dividing 7 by 9.
Step 3: As 7 is smaller than 9, we will use decimal methods, adding 0 to the dividend, which makes 7 as 70, and place a decimal point in the quotient.
Step 4: 9 goes into 70 a total of 7 times because 9 × 7 = 63. Write 7 in the quotient, and subtract 63 from 70, which gives 7.
Step 5: Bring down another 0 in the dividend place, making it 70 again, and repeat the division process. The division process continues as a recurring decimal.
The final answer for 7 7/9 as a decimal is 7.7777……
Important Glossaries for 7 7/9 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 in which a digit or group of digits repeats infinitely.
Explore More math-questions
Previous to 7 7/9 as a Decimal
