3 7/80 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 from the whole. It has two parts: numerator (number on the top), here 7 represents how many parts out of the whole, and denominator (number below) shows how many parts make the whole, here it is 80. 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 3 7/80 as a decimal?

$3 7/80 as a decimal$

Answer

3 7/80 in decimals can be written as 3.0875. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 3 7/80 into a decimal, we will convert the fraction part first. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 3, and the fraction is 7/80.

Step 2: Divide the numerator by the denominator to convert the fraction into a decimal.

Step 3: Divide 7 by 80.

Step 4: 7 divided by 80 equals 0.0875.

Step 5: Combine the whole number with the fractional decimal.

Step 6: Add 3 to 0.0875 to get 3.0875.

The answer for 3 7/80 as a decimal is 3.0875.

Important Glossaries for 3 7/80 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.