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105 LearnersLast updated on March 17th, 2025
8 7/9 as a Decimal
Converting a mixed number to a decimal involves understanding both fractions and decimals. A mixed number consists of a whole number and a fraction. In this case, 8 is the whole number, and 7/9 is the fraction. A decimal uses a period (.) 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 8 7/9 as a decimal?
Answer
8 7/9 in decimal form is approximately 8.77777… It is a recurring decimal, indicating that the digit 7 repeats infinitely.
Explanation
To convert 8 7/9 to a decimal, we first convert the fraction 7/9 to a decimal. We will use the division method.
Step 1: Identify the numerator and denominator. Here, 7 is the numerator, and 9 is the denominator.
Step 2: Divide 7 by 9. Since 7 is smaller than 9, we use decimals. Add a decimal point and zero, making it 70.
Step 3: 9 goes into 70 a total of 7 times (since 9 × 7 = 63). Place 7 in the quotient and subtract 63 from 70 to get 7.
Step 4: Bring down another 0, making it 70 again, and repeat the division process.
Step 5: This process will repeat indefinitely, resulting in a recurring decimal of 0.77777…
Finally, add this to the whole number part, 8, to get 8.77777…
Important Glossaries for 8 7/9 as a decimal
- Mixed Number: A number consisting of an integer and a fractional part.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
- 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.
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