56 1/40 as a Decimal

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This is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), which here is 56×40 + 1 = 2241, represents how many parts 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 56 1/40 as a decimal?

$56 1/40 as a decimal$ Answer

56 1/40 as a decimal can be written as 56.025. It is a terminating decimal.

Explanation

To convert 56 1/40 into a decimal, we first convert the mixed number into an improper fraction. 56 1/40 is the same as (56×40 + 1)/40 = 2241/40.

Step 1: Identify the numerator and the denominator. The numerator (2241) will be the dividend, and the denominator (40) will be the divisor.

Step 2: Perform the division. 2241 divided by 40 gives 56.025.

Step 3: Since 2241 divided by 40 results in a number with no repeating decimals, it is a terminating decimal.

The answer for 56 1/40 as a decimal is 56.025.

Important Glossaries for 56 1/40 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.