How do you write 0.333333 as a fraction? Choices: (A)1/9 (B)1/6 (C)1/3 (D)1/8

Identify Repeating Decimal: Identify the repeating decimal and express it as a fraction. To convert the repeating decimal 0.333333 to a fraction, recognize that it represents 0.\overline{3}, which is a repeating decimal. Set Up Equation: Set up an equation to solve for the fraction. Let x = 0.\overline{3}. Then, 10x = 3.\overline{3}. Subtract the original x from this equation: 10x - x = 3.\overline{3} - 0.\overline{3}. This simplifies to 9x = 3. Solve for Fraction: Solve for x to find the fraction. Divide both sides of the equation by 9: x = 3 / 9. Simplify the fraction to get x = 1/3.

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How do you write $0.333333$ as a fraction? $\newline$ Choices: $\newline$ (A) $\frac{1}{9}$ $\newline$ (B) $\frac{1}{6}$ $\newline$ (C) $\frac{1}{3}$ $\newline$ (D) $\frac{1}{8}$

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Math Problems

Grade 6

Convert between improper fractions and mixed numbers

Full solution

Q. How do you write

0.333333

as a fraction?

\newline

Choices:

\newline

(A)

\frac{1}{9}

\newline

(B)

\frac{1}{6}

\newline

(C)

\frac{1}{3}

\newline

(D)

\frac{1}{8}

Identify Repeating Decimal: Identify the repeating decimal and express it as a fraction. $\newline$ To convert the repeating decimal $0.333333$ to a fraction, recognize that it represents $0.\overline{3}$ , which is a repeating decimal.
Set Up Equation: Set up an equation to solve for the fraction. $\newline$ Let $x = 0.\overline{3}$ . Then, $10x = 3.\overline{3}$ . Subtract the original $x$ from this equation: $10x - x = 3.\overline{3} - 0.\overline{3}$ . This simplifies to $9x = 3$ .
Solve for Fraction: Solve for $x$ to find the fraction. $\newline$ Divide both sides of the equation by $9$ : $x = \frac{3}{9}$ . Simplify the fraction to get $x = \frac{1}{3}$ .