Which sign makes the statement true? 4/6 ? 1/2 + 2/6 Choices: (A)> (B)< (C)=

Simplify Fraction: Simplify 4/6 to its lowest terms. 4/6 = 2/3 Add Fractions: Add 1/2 and 2/6 to find their sum. First, find a common denominator for 1/2 and 2/6, which is 6. 1/2 = 3/6 Now, add 3/6 + 2/6 = 5/6 Compare Fractions: Compare 2/3 and 5/6 to determine which is greater. Convert 2/3 to a fraction with a denominator of 6 for easy comparison. 2/3 = 4/6 Now, compare 4/6 and 5/6. Since 4/6 (or 2/3) is less than 5/6, 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{4}{6}

?

\frac{1}{2}

+

\frac{2}{6}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify Fraction: Simplify $\frac{4}{6}$ to its lowest terms. $\newline$ $\frac{4}{6} = \frac{2}{3}$
Add Fractions: Add $\frac{1}{2}$ and $\frac{2}{6}$ to find their sum. $\newline$ First, find a common denominator for $\frac{1}{2}$ and $\frac{2}{6}$ , which is $6$ . $\newline$ $\frac{1}{2} = \frac{3}{6}$ $\newline$ Now, add $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$
Compare Fractions: Compare $\frac{2}{3}$ and $\frac{5}{6}$ to determine which is greater. $\newline$ Convert $\frac{2}{3}$ to a fraction with a denominator of $6$ for easy comparison. $\newline$ $\frac{2}{3} = \frac{4}{6}$ $\newline$ Now, compare $\frac{4}{6}$ and $\frac{5}{6}$ . $\newline$ Since $\frac{4}{6}$ (or $\frac{2}{3}$ ) is less than $\frac{5}{6}$ , the correct sign is $\frac{5}{6}$ $0$ .