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105 LearnersLast updated on March 15th, 2025
9 1/5 as a Decimal
Converting fractions to decimals is a fundamental mathematical skill. Fractions represent parts of a whole and consist of a numerator (the top number) and a denominator (the bottom number). The numerator shows how many parts are considered, while the denominator indicates how many parts make up a whole. Decimals are used to express non-whole numbers, with the whole part separated from the fractional part by a decimal point. Numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
What is 9 1/5 as a decimal?
Answer
9 1/5 in decimal form is 9.2. It is a terminating decimal, which means it does not repeat infinitely.
Explanation
To convert 9 1/5 into a decimal, we first convert the fractional part. Here, 1/5 is our fraction. Using division:
Step 1: Identify the numerator and denominator. The numerator (1) is the dividend, and the denominator (5) is the divisor.
Step 2: Divide 1 by 5. Since 1 is less than 5, we use the decimal method.
Step 3: Add a decimal point to the quotient and a zero to the dividend, making it 10.
Step 4: Divide 10 by 5, resulting in 2.
Step 5: The result is 0.2 for the fractional part. Combine this with the whole number 9, giving us 9.2.
Important Glossaries for 9 1/5 as a decimal
- Fraction: A numerical representation of a part of a whole, consisting of a numerator and a denominator.
- Decimal: A number that uses the base ten and a decimal point to separate the whole part from the fractional part.
- Numerator: The top number in a fraction, showing the number of parts considered.
- Denominator: The bottom number in a fraction, indicating the total number of parts that make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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