1.20 into a Fraction
Converting decimals to fractions is an essential skill in mathematics, and today we're going to explore how to convert 1.20 into a fraction.
What is a Fraction?
A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number), separated by a horizontal line. For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 1.20 to a Fraction
To convert 1.20 to a fraction, we need to follow these steps:
Step 1: Identify the decimal
The given decimal is 1.20.
Step 2: Count the number of decimal places
The decimal 1.20 has two decimal places.
Step 3: Multiply by 10 raised to the power of the number of decimal places
Multiply 1.20 by 10^2 (10 squared), which is equal to 100.
1.20 × 100 = 120
Step 4: Write the result as a fraction
Now, write the result as a fraction:
120/100
Step 5: Simplify the fraction (if possible)
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 120 and 100 is 20.
120 ÷ 20 = 6 100 ÷ 20 = 5
So, the simplified fraction is:
6/5
Therefore, 1.20 is equal to the fraction 6/5.
Conclusion
Converting decimals to fractions is an important skill in mathematics, and with these simple steps, you can easily convert 1.20 to the fraction 6/5. Remember to always simplify the fraction, if possible, to get the most accurate result.
