QuestionAugust 25, 2025

2. Write 1.888 __ as a mixed number. Letx=square . 10x=square 10x-x=square -square 9x=square x=square So 1.888 __ is equal to square

2. Write 1.888 __ as a mixed number. Letx=square . 10x=square 10x-x=square -square 9x=square x=square So 1.888 __ is equal to square
2. Write 1.888 __ as a mixed number.
Letx=square .
10x=square 
10x-x=square -square 
9x=square 
x=square 
So 1.888 __ is equal to
square

Solution
4.4(184 votes)

Answer

1 \frac{8}{9} Explanation 1. Define the repeating decimal Let x = 1.888\ldots (where the digit '8' repeats indefinitely). 2. Multiply by 10 to shift decimal Multiply both sides by 10: 10x = 18.888\ldots 3. Subtract equations Subtract the first equation from the second: 10x - x = 18.888\ldots - 1.888\ldots 4. Simplify subtraction This results in 9x = 17 5. Solve for x Divide both sides by 9: x = \frac{17}{9} 6. Convert to mixed number \frac{17}{9} can be expressed as a mixed number: 1 \frac{8}{9}

Explanation

1. Define the repeating decimal<br /> Let $x = 1.888\ldots$ (where the digit '8' repeats indefinitely).<br />2. Multiply by 10 to shift decimal<br /> Multiply both sides by 10: $10x = 18.888\ldots$<br />3. Subtract equations<br /> Subtract the first equation from the second: $10x - x = 18.888\ldots - 1.888\ldots$<br />4. Simplify subtraction<br /> This results in $9x = 17$<br />5. Solve for x<br /> Divide both sides by 9: $x = \frac{17}{9}$<br />6. Convert to mixed number<br /> $\frac{17}{9}$ can be expressed as a mixed number: $1 \frac{8}{9}$
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