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102 LearnersLast updated on March 13th, 2025
8 9/40 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here, 9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 40. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
What is 8 9/40 as a decimal?
Answer
8 9/40 in decimals can be written as 8.225. The fraction 9/40 is a terminating decimal.
Explanation
To convert 8 9/40 to decimal, we will convert the fractional part first.
Step 1: Identify the numerator (9) and denominator (40) because the numerator will be taken as the dividend and the denominator as the divisor.
Step 2: Perform the division 9 ÷ 40. Since 9 is smaller than 40, we will add a decimal point and zeroes to the dividend to carry out the division.
Step 3: 9.0 divided by 40 gives 0.225.
Step 4: Add the whole number part (8) to the decimal fraction (0.225).
Step 5: Therefore, the complete decimal representation of 8 9/40 is 8.225.
Important Glossaries for 8 9/40 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.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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