-5 11/40 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 from the whole. It has two parts: the numerator (number on the top), here 11 represents how many parts out of the 40 parts of the whole are considered. The denominator (number below) is 40, showing how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 -5 11/40 as a decimal?

$-5 11/40 as a decimal$

Answer

-5 11/40 in decimals can be written as -5.275. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert -5 11/40 to a decimal, we will first convert the fractional part 11/40 into decimal form and then combine it with the whole number part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number part (-5) and the fraction part (11/40).

Step 2: Convert the fraction 11/40 to a decimal by dividing 11 by 40.

Step 3: 11 ÷ 40 = 0.275.

Step 4: Combine the whole number part with the decimal part to get -5 + 0.275 = -5.275.

Thus, -5 11/40 as a decimal is -5.275.

Important Glossaries for -5 11/40 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.