To convert a fraction into decimal form, we need to divide the numerator (top number) by the denominator (bottom number). In this case, we want to convert the fraction 3/4 into a decimal.
What is 3/4 in decimal form?
Step 1: Divide 3 by 4
The first step is to divide the numerator, 3, by the denominator, 4:
3 ÷ 4 = 0.75
So, 3/4 in decimal form is 0.75.
Step 2: Simplify, if possible
In this case, 3/4 is already in its simplest form, but if the fraction was not in simplest form, we would simplify it before dividing. For example, if the fraction was 6/8, we would simplify it to 3/4 before dividing:
6/8 = 3/4 3/4 = 0.75
So, 6/8 in decimal form is also 0.75.
Step 3: Understand the relationship between fractions and decimals
It’s important to understand that fractions and decimals are just two different ways of representing the same value. In other words, 3/4 and 0.75 represent the same amount, just in different forms.
Fractions are useful when we want to represent parts of a whole, while decimals are useful when we want to make comparisons between different values. For example, if we want to compare the values 0.75 and 0.8, it’s easier to do so using decimals than fractions.
Step 4: Practice converting fractions to decimals
To become more comfortable with converting fractions to decimals, it’s helpful to practice with a variety of different fractions. Here are a few examples:
- 2/3 = 0.666666…
- 1/2 = 0.5
- 5/8 = 0.625
- 7/10 = 0.7
- 11/12 = 0.916666…
It’s important to note that some fractions, such as 1/3 and 2/7, have repeating decimals that go on forever. In these cases, we can either round the decimal to a certain number of decimal places, or use a bar over the repeating digits to indicate the repeating pattern.
In summary, to convert a fraction to a decimal, we simply divide the numerator by the denominator. In the case of 3/4, the decimal form is 0.75. It’s important to understand the relationship between fractions and decimals, and to practice converting a variety of different fractions to decimals.