109 LearnersLast updated on May 26th, 2025
7 5/9 as a Decimal
It is a simple question about decimal conversion. Firstly, we need to understand fractions and decimals. A mixed number, like 7 5/9, represents a whole number combined with a fraction. The fraction has two parts: the numerator (top number), which here is 5, representing how many parts of the whole are considered, and the denominator (bottom number), which is 9, showing how many parts make up a whole. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole number from the fractional part. Numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 7 5/9 as a decimal?
Answer
7 5/9 as a decimal can be written as 7.55555… It is a recurring decimal, meaning it will repeat the same digit infinitely.
Explanation
To convert 7 5/9 to a decimal, we first convert the fraction 5/9 to a decimal. Let's break down the process:
Step 1: Identify the numerator (5) and denominator (9). The numerator is the dividend, and the denominator is the divisor.
Step 2: Perform the division 5 ÷ 9, which is less than 1. We introduce a decimal point and continue the division.
Step 3: Since 5 is smaller than 9, we add a 0 to make it 50.
Step 4: 9 goes into 50 five times (9 × 5 = 45), leaving a remainder of 5.
Step 5: Bring down another 0, making it 50 again, and repeat the division. This division process continues indefinitely, so 5/9 as a decimal is 0.5555…
Step 6: Add the whole number 7 to the fractional decimal part 0.5555…
The answer for 7 5/9 as a decimal is 7.5555…
Important Glossaries for 7 5/9 as a decimal
- Mixed Number: A number that combines a whole number and a fraction.
- Fraction: A numerical representation of a part of a whole.
- Decimal: A number expressed in the base ten system, using a decimal point to separate whole and fractional parts.
- Recurring Decimal: A decimal fraction that repeats the same sequence of digits indefinitely.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
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