Which sign makes the statement true? 2/3 ? 2/3 − 1/9 Choices: (A)> (B)< (C)=

Simplify Expression: Step 1: Simplify the expression on the right side of the question mark. Calculate 2/3 - 1/9. First, find a common denominator for the fractions, which is 9. 2/3 = 6/9 (since 2*3 = 6 and 3*3 = 9) Now, subtract 1/9 from 6/9. 6/9 - 1/9 = 5/9 Compare Expressions: Step 2: Compare the simplified expression with the left side. Left side: 2/3 Right side after simplification: 5/9 Convert 2/3 to a fraction with denominator 9 for easy comparison. 2/3 = 6/9 Now compare 6/9 and 5/9. Since 6/9 is greater than 5/9, the correct sign is '>'.

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Which sign makes the statement true? $\newline$ $\frac{2}{3}$ $?$ $\frac{2}{3} - \frac{1}{9}$ $\newline$ Choices: $\newline$ (A)> $\newline$ (B)< $\newline$ (C) $=$

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Math Problems

Grade 7

Inequalities with addition and subtraction of fractions and mixed numbers

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Q. Which sign makes the statement true?

\newline

\frac{2}{3}

?

\frac{2}{3} - \frac{1}{9}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify Expression: Step $1$ : Simplify the expression on the right side of the question mark. $\newline$ Calculate $\frac{2}{3} - \frac{1}{9}$ . $\newline$ First, find a common denominator for the fractions, which is $9$ . $\newline$ $\frac{2}{3} = \frac{6}{9}$ (since $2\times3 = 6$ and $3\times3 = 9$ ) $\newline$ Now, subtract $\frac{1}{9}$ from $\frac{6}{9}$ . $\newline$ $\frac{6}{9} - \frac{1}{9} = \frac{5}{9}$
Compare Expressions: Step $2$ : Compare the simplified expression with the left side. $\newline$ Left side: $\frac{2}{3}$ $\newline$ Right side after simplification: $\frac{5}{9}$ $\newline$ Convert $\frac{2}{3}$ to a fraction with denominator $9$ for easy comparison. $\newline$ $\frac{2}{3} = \frac{6}{9}$ $\newline$ Now compare $\frac{6}{9}$ and $\frac{5}{9}$ . $\newline$ Since $\frac{6}{9}$ is greater than $\frac{5}{9}$ , the correct sign is '>'.