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106 LearnersLast updated on March 13th, 2025
1 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 1 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 1 7/9 as a decimal?
Answer
1 7/9 in decimals can be written as 1.77777….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 1 7/9 in decimal, we will use the division method. First, convert the mixed fraction to an improper fraction: (1 × 9) + 7 = 16/9. Then divide 16 by 9 using the following steps.
Step 1: Identify the numerator and denominator because the numerator (16) will be taken as the dividend and the denominator (9) will be taken as the divisor.
Step 2: 16 divided by 9 gives us 1.7777.
Step 3: As 16 is larger than 9, we divide directly to see how many times 9 goes into 16. It is 1 time, with a remainder of 7.
Step 4: Bring down a 0 to make it 70. Divide 70 by 9 to get 7, with a remainder of 7.
Step 5: Bring down another 0, making it 70 again, repeating the process. This process is called a recurring decimal.
The answer for 1 7/9 as a decimal will be 1.7777……
Important Glossaries for 1 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.
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