28/40 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 (the number on the top), here 28, which represents how many parts out of the whole. The denominator (the 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 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 28/40 as a decimal?

$28/40 as a decimal$

Answer

28/40 in decimals can be simplified by first reducing the fraction to its simplest form. The greatest common divisor of 28 and 40 is 4. Therefore, 28/40 simplifies to 7/10. Thus, it can be written as 0.7 as a decimal.

Explanation

To convert 28/40 to a decimal, we use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 28/40. The greatest common divisor of 28 and 40 is 4.

Step 2: Divide both the numerator and the denominator by 4. This gives us 7/10.

Step 3: Now, convert 7/10 to a decimal. We can do this by dividing the numerator by the denominator: 7 ÷ 10 = 0.7

The answer for 28/40 as a decimal will be 0.7.

Important Glossaries for 28/40 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.

Simplifying Fractions: The process of reducing a fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor.