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116 LearnersLast updated on March 29th, 2025
45 23/40 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 23 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 those to the right represent the fractional part.
What is 45 23/40 as a decimal?
Answer
45 23/40 as a decimal can be written as 45.575. This is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To get 45 23/40 in decimal, we will convert the fractional part to a decimal and then add it to the whole number. Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole number and the fraction. Here, the whole number is 45, and the fraction is 23/40.
Step 2: Convert the fraction 23/40 to a decimal by dividing 23 by 40.
Step 3: Perform the division: 23 ÷ 40 = 0.575.
Step 4: Add the whole number to the decimal: 45 + 0.575 = 45.575.
Step 5: The result is a terminating decimal.
Important Glossaries for 45 23/40 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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