Operation with Mixed Numbers
In this article, we will discuss how to perform arithmetic operations with mixed numbers. Specifically, we will evaluate the expression 1 4/5 + 0.25 x 2 1/5.
Step 1: Convert Mixed Numbers to Improper Fractions
To simplify the calculation, we need to convert the mixed numbers to improper fractions.
1 4/5=9/52 1/5=11/5
Step 2: Calculate the Expression
Now, let's evaluate the expression:
1 4/5 + 0.25 x 2 1/5
= 9/5 + 0.25 x 11/5
First, convert 0.25 to a fraction:
0.25 = 1/4
Now, multiply 1/4 by 11/5:
1/4 x 11/5 = 11/20
Add 9/5 and 11/20:
9/5 + 11/20 = 36/20 + 11/20 = 47/20
Step 3: Simplify the Result
The final result is:
47/20
To convert it back to a mixed number, divide the numerator by the denominator:
47 ÷ 20 = 2 with a remainder of 7
So, the final answer is:
2 7/20
Therefore, 1 4/5 + 0.25 x 2 1/5 is equal to 2 7/20.
