What is 0.4 as a Fraction?
Definition
A fraction is a way to express a part of a whole as a ratio of two integers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 0.4 to a Fraction
To convert the decimal number 0.4 to a fraction, we need to find the equivalent ratio of two integers. One way to do this is to divide 0.4 by 1, like this:
0.4 ÷ 1 = 0.4
To convert this to a fraction, we can multiply both the numerator and the denominator by 10, which gives us:
4/10
This is a fraction in its simplest form. However, we can simplify it further by dividing both numbers by their greatest common divisor (GCD), which is 2. This gives us:
2/5
So, 0.4 as a fraction is equal to 2/5.
Equivalent Fractions
Equivalent fractions are fractions that have the same value, but with different numerators and denominators. For example, the fractions 4/10, 8/20, and 12/30 are all equivalent to 2/5.
Real-World Applications
Fractions are used in many real-world applications, such as:
- Cooking: Recipes often require fractions of ingredients, such as 1/4 cup of sugar or 3/4 teaspoon of salt.
- Measurement: Fractions are used to measure lengths, areas, and volumes in mathematics and science.
- Finance: Fractions are used to calculate interest rates, investment returns, and currency exchange rates.
In conclusion, 0.4 as a fraction is equal to 2/5, which is a simplified fraction that can be used in a variety of mathematical and real-world applications.
