1.88888 Repeating as a Fraction
The repeating decimal 1.88888 can be written as a fraction. To do this, we can use a few simple steps.
Step 1: Let's Identify the Repeating Part
The repeating part of the decimal is .88888. Let's call this repeating part r.
Step 2: Create an Equation
Let's create an equation using r. Since .88888 is the repeating part, we can set up the equation:
10r = 8.88888
Step 3: Subtract the Original Equation
Now, let's subtract the original equation from the one we just created:
10r = 8.88888
- r = 1.88888
This gives us:
9r = 7
Step 4: Solve for r
Now, let's solve for r by dividing both sides of the equation by 9:
r = 7/9
Step 5: Convert to a Mixed Number
Since we want to write 1.88888 as a mixed number, we can use the value of r to find the fraction:
1.88888 = 1 + 7/9 = 1 7/9
Therefore, the repeating decimal 1.88888 can be written as a fraction, which is 1 7/9.
