6/40 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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: numerator (number on the top), here 6, which represents how many parts out of the whole, and the denominator (number below), here 40, which shows how many parts make the whole. A decimal is a way to represent the number that is not whole, using a period (.) 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 6/40 as a decimal?

$6/40 as a decimal$

Answer

6/40 in decimal can be written as 0.15. It is a terminating decimal, indicating that it ends after two decimal places.

Explanation

To convert 6/40 into a decimal, we will use the division method. Since 6 is smaller than 40, we will use the decimal method to arrive at 0.15. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator where the numerator (6) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: As 6 is smaller than 40, it can't be divided directly, so we will use decimals. We add a 0 to the dividend, making it 60, and add a decimal point in the quotient place.

Step 3: Now that it is 60, we can divide it by 40. Let's see how many times 40 fits into 60.

Step 4: 60 divided by 40 equals 1, with a remainder of 20. Write 1 in the quotient place.

Step 5: Bring down another 0, making it 200, and divide by 40 to get 5.

Step 6: 200 divided by 40 equals 5, with no remainder. The process ends here as we get a remainder of 0.

Therefore, the answer for 6/40 as a decimal is 0.15.

Important Glossaries for 6/40 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.