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

Convert to common denominator: Convert fractions to a common denominator to compare them easily. 1/4 becomes 2/8 and 1/2 becomes 4/8; Compare numerators: Compare the numerators since the denominators are the same. 2 is less than 4; Determine fraction relationship: Since 2/8 is less than 4/8, 1/4 is less than 1/2. Choose (B)<;

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Which sign makes the statement true? $\newline$ $\frac{1}{4}$ $\text{?}$ $\frac{1}{2}$ $\newline$ 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

Full solution

Q. Which sign makes the statement true?

\newline

\frac{1}{4}

\text{?}

\frac{1}{2}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to common denominator: Convert fractions to a common denominator to compare them easily. $\frac{1}{4}$ becomes $\frac{2}{8}$ and $\frac{1}{2}$ becomes $\frac{4}{8}$ ;
Compare numerators: Compare the numerators since the denominators are the same. $2$ is less than $4$ ;
Determine fraction relationship: Since $\frac{2}{8}$ is less than $\frac{4}{8}$ , $\frac{1}{4}$ is less than $\frac{1}{2}$ . Choose (B) <;