Which sign makes the statement true? 1/4 ? –3/5 Choices: (A)> (B)< (C)=

Convert to common denominator: Step 1: Convert fractions to a common denominator to compare them. 1/4 and -3/5 need a common denominator. The least common multiple of 4 and 5 is 20. 1/4 = 5/20 and -3/5 = -12/20 Compare fractions: Step 2: Compare the two fractions. 5/20 and -12/20; since 5 is greater than -12, 1/4 is greater than -3/5

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Which sign makes the statement true? $\newline$ $\frac{1}{4}$ $\text{?}$ $-\frac{3}{5}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 8

Compare rational numbers

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Q. Which sign makes the statement true?

\newline

\frac{1}{4}

\text{?}

-\frac{3}{5}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to common denominator: Step $1$ : Convert fractions to a common denominator to compare them. $\newline$ $\frac{1}{4}$ and $-\frac{3}{5}$ need a common denominator. The least common multiple of $4$ and $5$ is $20$ . $\newline$ $\frac{1}{4} = \frac{5}{20}$ and $-\frac{3}{5} = -\frac{12}{20}$
Compare fractions: Step $2$ : Compare the two fractions. $\newline$ $\frac{5}{20}$ and $\frac{-12}{20}$ ; since $5$ is greater than $-12$ , $\frac{1}{4}$ is greater than $\frac{-3}{5}$