1.250 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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Numbers can be categorized into different types. A fraction is one such type, represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2 in fraction form and decimals are expressed with a decimal point (.), for example, 1.250. We are going to learn how to convert a decimal to a fraction.

What is 1.250 as a Fraction?

$1.250 as a fraction$

Answer

The answer for 1.250 as a fraction is 5/4.

Explanation

Converting a decimal to a fraction is a straightforward task that students can perform by following certain steps.

Step 1: First, convert the decimal number to a fraction. Here, 1.250 is the number on the numerator, and the base number 1 will be the denominator. Thus, 1.250 becomes 1.250/1.

Step 2: To eliminate the decimal from the fraction, multiply both the numerator and denominator by 1000 (since there are three decimal places). 1.250/1 × 1000/1000 = 1250/1000

Step 3: The GCD of 1250 and 1000 is 250. To simplify the fraction, divide both the numerator and the denominator by 250. 1250/1000 = 5/4 Hence, 1.250 is represented as the fraction 5/4.

Thus, 1.250 can be written as the fraction 5/4.

Important Glossaries for 1.250 as a Fraction

Fraction: A numerical quantity that is not a whole number, indicating a part of a whole.

Decimal: A number using the base ten, including 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.

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