Converting decimals to fractions is a useful math skill that can be applied in various situations. Here's how to convert 0.96 to a fraction in 3 easy steps:
Understanding the Decimal
Before we start the conversion process, let's understand what the decimal 0.96 represents. The decimal point separates the whole number from the fractional part. In this case, 0 is the whole number, and 96 is the fractional part.
Step 1: Identify the Place Value
The first step in converting 0.96 to a fraction is to identify the place value of the decimal. Since 0.96 has two decimal places, we can express it as 96/100.
Why 100?
We use 100 as the denominator because there are two decimal places in 0.96. If the decimal had three places, we would use 1000 as the denominator, and so on.
Step 2: Simplify the Fraction
Now that we have expressed 0.96 as 96/100, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 96 and 100 is 4.
96 ÷ 4 = 24 100 ÷ 4 = 25
So, the simplified fraction is 24/25.
Why Simplify the Fraction?
Simplifying the fraction makes it easier to work with and understand. In this case, 24/25 is a more concise and intuitive representation of 0.96 than 96/100.
Step 3: Express the Fraction in Its Simplest Form
The final step is to express the fraction in its simplest form. Since we have already simplified 96/100 to 24/25, we can conclude that 0.96 is equal to 24/25.
Conclusion
In conclusion, converting 0.96 to a fraction is a straightforward process that involves identifying the place value, simplifying the fraction, and expressing it in its simplest form. By following these three easy steps, you can convert any decimal to a fraction.
Gallery of Decimal to Fraction Conversion
What is the purpose of converting decimals to fractions?
+Converting decimals to fractions is useful in various mathematical operations, such as addition, subtraction, multiplication, and division. It can also help in simplifying complex calculations and providing a clearer understanding of numerical relationships.
How do I convert a decimal to a fraction?
+To convert a decimal to a fraction, identify the place value of the decimal, express it as a fraction, and simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
What is the greatest common divisor (GCD) of two numbers?
+The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without leaving a remainder.
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