16/40 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: the numerator (number on the top), here, 16 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 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 16/40 as a decimal?

$16/40 as a decimal$

Answer

16/40 in decimals can be simplified first to 0.4. The decimal is terminating, meaning it does not repeat infinitely.

Explanation

To get 16/40 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction. The greatest common divisor of 16 and 40 is 8. So, 16/40 can be simplified to 2/5.

Step 2: Now, divide the numerator by the denominator. Here, 2 divided by 5 gives 0.4.

Step 3: Since 2 is smaller than 5, we use decimals to divide it. Add a decimal point to the quotient.

Step 4: Multiply 5 with 0.4, which gives 2. Subtract 2 from 2, resulting in 0.

Step 5: Since there is no remainder, the division ends here, and the decimal does not repeat.

The answer for 16/40 as a decimal will be 0.4.

Important Glossaries for 16/40 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.