Which fraction is equivalent to 2/6? Choices: (A)1/3 (B)2/5 (C)3/7 (D)1/4

Identify GCF of 2 and 6: Step 1: Identify the Greatest Common Factor (GCF) of 2 and 6. Factors of 2: 1, 2 Factors of 6: 1, 2, 3, 6 GCF of 2 and 6 is 2. Simplify fraction 2/6: Step 2: Simplify the fraction 2/6 using the GCF. (2/6) = (2 ÷ 2) / (6 ÷ 2) = 1/3 Compare with choices: Step 3: Compare the simplified fraction with the choices given. 1/3 matches with choice (A)1/3.

Home

Math Problems

Grade 7

Equivalent fractions

Full solution

Q. Which fraction is equivalent to

\frac{2}{6}

\newline

Choices:

\newline

(A)

\frac{1}{3}

\newline

(B)

\frac{2}{5}

\newline

(C)

\frac{3}{7}

\newline

(D)

\frac{1}{4}

Identify GCF of $2$ and $6$ : Step $1$ : Identify the Greatest Common Factor (GCF) of $2$ and $6$ . $\newline$ Factors of $2$ : $1$ , $2$ $\newline$ Factors of $6$ : $1$ , $2$ , $3$ , $6$ $\newline$ GCF of $2$ and $6$ is $2$ .
Simplify fraction $\frac{2}{6}$ : Step $2$ : Simplify the fraction $\frac{2}{6}$ using the GCF. $\left(\frac{2}{6}\right) = \left(\frac{2 \div 2}{6 \div 2}\right) = \frac{1}{3}$
Compare with choices: Step $3$ : Compare the simplified fraction with the choices given. $\frac{1}{3}$ matches with choice (A) $\frac{1}{3}$ .