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110 LearnersLast updated on March 3rd, 2025
9 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 of the whole. It has two parts: numerator (number on the top), here 7 represents how many parts out of the whole. The denominator (number below) 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 (.) or a decimal 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 9 7/9 as a decimal?
Answer
9 7/9 in decimals can be written as 9.77777…. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To convert 9 7/9 into a decimal, we first convert the fraction part 7/9 into a decimal using the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator; the numerator (7) will be taken as the dividend, and the denominator (9) will be taken as the divisor.
Step 2: As 7 is smaller than 9, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making it 70, and add a decimal point in the quotient place.
Step 3: Now that it is 70, we can divide it by 9. Let's see how many times 9 fits into 70.
Step 4: 9 times 7 is 63, which is the closest we can get without exceeding 70. We write 7 in the quotient place and subtract 63 from 70, giving us a remainder of 7.
Step 5: Bring down another 0 in the dividend place, making it 70 again, and repeat the division process. The division process continues without reaching a remainder of 0, resulting in a recurring decimal. Therefore, the fraction 7/9 as a decimal is 0.7777…
Adding this to the whole number 9, the answer for 9 7/9 as a decimal will be 9.7777…
Important Glossaries for 9 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 that repeats the same digit or sequence of digits infinitely.
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