QuestionAugust 27, 2026

3.Starting with x=1.overline (3) express x as a fraction in simplest form. 1) Translate to Spenish x=1.3 1.3=(13)/(10) (?) 2 Entering a mixed number To enter a mixed number 2. button and use the arrow keys to move your cursos Ocpst Can you try egain using on equals sign =? For this question, the answer should be given as an equation Oopst We're not sure how to interpret what you submitted. Can you please clear the answer feld and by entering the answer again? What should Ido next? Can Iget a hint please? C Can I get an example please? .

3.Starting with x=1.overline (3) express x as a fraction in simplest form. 1) Translate to Spenish x=1.3 1.3=(13)/(10) (?) 2 Entering a mixed number To enter a mixed number 2. button and use the arrow keys to move your cursos Ocpst Can you try egain using on equals sign =? For this question, the answer should be given as an equation Oopst We're not sure how to interpret what you submitted. Can you please clear the answer feld and by entering the answer again? What should Ido next? Can Iget a hint please? C Can I get an example please? .
3.Starting with x=1.overline (3) express x as a fraction in simplest form.
1) Translate to Spenish
x=1.3
1.3=(13)/(10)
(?)
2
Entering a mixed number
To enter a mixed number
2. button and use the arrow keys to
move your cursos
Ocpst Can you try egain using on equals sign =? For this question, the answer should be given as
an equation
Oopst We're not sure how to interpret what you submitted. Can you please clear the answer feld
and by entering the answer again?
What should Ido next?
Can Iget a hint please?
C Can I get an example please?	.

Solution
4.0(122 votes)

Answer

x = \frac{4}{3} Explanation 1. Express the repeating decimal as an equation Let x = 1.\overline{3}, which means x = 1.3333\ldots. 2. Multiply to eliminate the repeating part Multiply both sides by 10 to shift the decimal point: 10x = 13.3333\ldots. 3. Subtract the original equation Subtract the original x = 1.3333\ldots from 10x = 13.3333\ldots: 10x - x = 13.3333\ldots - 1.3333\ldots This simplifies to 9x = 12. 4. Solve for x Divide both sides by 9: x = \frac{12}{9}. 5. Simplify the fraction Simplify \frac{12}{9} to \frac{4}{3} by dividing the numerator and denominator by 3.

Explanation

1. Express the repeating decimal as an equation<br /> Let $x = 1.\overline{3}$, which means $x = 1.3333\ldots$.<br />2. Multiply to eliminate the repeating part<br /> Multiply both sides by 10 to shift the decimal point: $10x = 13.3333\ldots$.<br />3. Subtract the original equation<br /> Subtract the original $x = 1.3333\ldots$ from $10x = 13.3333\ldots$: <br />$$10x - x = 13.3333\ldots - 1.3333\ldots$$<br /> This simplifies to $9x = 12$.<br />4. Solve for x<br /> Divide both sides by 9: $x = \frac{12}{9}$.<br />5. Simplify the fraction<br /> Simplify $\frac{12}{9}$ to $\frac{4}{3}$ by dividing the numerator and denominator by 3.
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