9 29/40 as a Decimal

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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), which in this case is 29, representing how many parts out of the whole, and the denominator (number below), which is 40, showing how many parts make the whole. 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 9 29/40 as a decimal?

$9 29/40 as a decimal$

Answer

9 29/40 in decimals can be written as 9.725. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 9 29/40 to a decimal, we will use division and addition methods. 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 9, and the fraction is 29/40.

Step 2: Convert the fraction 29/40 into a decimal by dividing the numerator by the denominator.

Step 3: Divide 29 by 40. 29 ÷ 40 = 0.725.

Step 4: Add this decimal to the whole number. 9 + 0.725 = 9.725. This is a terminating decimal as the division results in a remainder of zero.

The answer for 9 29/40 as a decimal will be 9.725.

Important Glossaries for 9 29/40 as a decimal

Mixed Number: A number consisting of an integer and a proper fraction.
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.