Which sign makes the statement true? 3/6 ? 2/6 + 1/3 Choices: (A)> (B)< (C)=

Simplify and Add Fractions: Step 1: Simplify the fractions and perform the addition on the right side of the equation. 3/6 simplifies to 1/2. 2/6 simplifies to 1/3. 1/3 remains as 1/3. Now, add 1/3 + 1/3 = 2/3 Compare Simplified Fractions: Step 2: Compare the simplified fractions. 1/2 ? 2/3 Since 1/2 (which is 0.5) is less than 2/3 (which is approximately 0.67), the correct sign is <.

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Math Problems

Grade 7

Inequalities with addition and subtraction of fractions and mixed numbers

Full solution

Q. Which sign makes the statement true?

\newline

\frac{3}{6}

\text{?}

\frac{2}{6} + \frac{1}{3}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify and Add Fractions: Step $1$ : Simplify the fractions and perform the addition on the right side of the equation. $\newline$ $\frac{3}{6}$ simplifies to $\frac{1}{2}$ . $\newline$ $\frac{2}{6}$ simplifies to $\frac{1}{3}$ . $\newline$ $\frac{1}{3}$ remains as $\frac{1}{3}$ . $\newline$ Now, add $\frac{1}{3} + \frac{1}{3} = \frac{2}{3}$
Compare Simplified Fractions: Step $2$ : Compare the simplified fractions. $\newline$ $\frac{1}{2}$ ? $\frac{2}{3}$ $\newline$ Since $\frac{1}{2}$ (which is $0.5$ ) is less than $\frac{2}{3}$ (which is approximately $0.67$ ), the correct sign is <.