1 667 as a Fraction
Introduction
In this article, we will explore how to convert the decimal number 1.667 to a fraction. Converting decimals to fractions is an important skill in mathematics, and it can be useful in a variety of situations, from everyday life to advanced mathematical calculations.
Converting 1.667 to a Fraction
To convert 1.667 to a fraction, we can use the following steps:
Step 1: Write the decimal as a fraction with a denominator of 1
1.667 = 1.667/1
Step 2: Multiply both the numerator and denominator by 1000 to eliminate the decimal
1.667/1 = 1667/1000
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD)
The GCD of 1667 and 1000 is 1, so the fraction is already in its simplest form:
1667/1000
Therefore, the decimal number 1.667 can be written as the fraction 1667/1000.
Alternative Simplification
If we want to simplify the fraction further, we can divide both the numerator and denominator by 3, which gives us:
1667 ÷ 3 = 555.67 1000 ÷ 3 = 333.33
So, an alternative simplification of the fraction is:
555.67/333.33
However, this is not a simplified fraction in the classical sense, since both the numerator and denominator are still decimals. The original simplification, 1667/1000, is a more conventional and widely accepted fraction form.
Conclusion
In this article, we have shown how to convert the decimal number 1.667 to a fraction, resulting in the simplest form of 1667/1000. This conversion is an essential skill in mathematics, and it can be applied to a wide range of decimal numbers.
