1 4/8 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 of the whole. It has two parts: the numerator (number on the top) here, 4 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent the 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 1 4/8 as a decimal?

$1 4/8 as a decimal$

Answer

1 4/8 in decimals can be written as 1.5. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 1 4/8 in decimal, we will simplify and convert. First, convert 4/8 to its simplest form and then add it to the whole number.

Step 1: Identify the whole number (1) and the fraction (4/8).

Step 2: Simplify the fraction 4/8 by dividing both the numerator and the denominator by their greatest common divisor, which is 4.

Step 3: 4 ÷ 4 = 1 and 8 ÷ 4 = 2, so the simplified fraction is 1/2.

Step 4: Convert 1/2 to a decimal. Dividing 1 by 2 gives 0.5.

Step 5: Add the whole number (1) to the decimal (0.5) to get 1.5.

The answer for 1 4/8 as a decimal will be 1.5.

Important Glossaries for 1 4/8 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.