0.27 Divided by 1/4: How to Simplify the Expression
In this article, we will explore how to simplify the expression 0.27 divided by 1/4. To solve this problem, we need to understand the concept of division by a fraction.
What does "divided by a fraction" mean?
When we divide a number by a fraction, we are essentially multiplying it by the reciprocal of that fraction. In our case, we need to divide 0.27 by 1/4.
Step-by-Step Solution
To simplify the expression, we can follow these steps:
Step 1: Convert the decimal to a fraction
0.27 = 27/100
Step 2: Multiply the fraction by the reciprocal of 1/4
To find the reciprocal of 1/4, we flip the fraction, making it 4/1.
Now, multiply 27/100 by 4/1:
(27/100) × (4/1) = 108/100
Step 3: Simplify the fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
108 ÷ 4 = 27 100 ÷ 4 = 25
So, the simplified fraction is:
27/25
Final Answer
0.27 divided by 1/4 is equal to 27/25.
By following these steps, we have successfully simplified the expression 0.27 divided by 1/4.
