Which sign makes the statement true? 4/8 ? 3/8 + 1/4 Choices: (A)> (B)< (C)=

Simplify Fraction: Simplify 4/8 to its lowest terms. Calculation: 4/8 = 1/2Convert Fraction: Convert 1/4 to a fraction with a denominator of 8 to easily add it to 3/8. Calculation: 1/4 = 2/8Add Fractions: Add 3/8 and 2/8. Calculation: 3/8 + 2/8 = 5/8Compare Fractions: Compare 1/2 and 5/8 to find the correct sign. Calculation: 1/2 = 4/8, so 4/8 ? 5/8 Since 4/8 is less than 5/8, 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}{8}

?

\frac{3}{8} + \frac{1}{4}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify Fraction: Simplify $\frac{4}{8}$ to its lowest terms. $\newline$ Calculation: $\frac{4}{8} = \frac{1}{2}$
Convert Fraction: Convert $1/4$ to a fraction with a denominator of $8$ to easily add it to $3/8$ . $\newline$ Calculation: $1/4 = 2/8$
Add Fractions: Add $\frac{3}{8}$ and $\frac{2}{8}$ . $\newline$ Calculation: $\frac{3}{8} + \frac{2}{8} = \frac{5}{8}$
Compare Fractions: Compare $\frac{1}{2}$ and $\frac{5}{8}$ to find the correct sign. $\newline$ Calculation: $\frac{1}{2} = \frac{4}{8}$ , so $\frac{4}{8} \, ? \, \frac{5}{8}$ $\newline$ Since $\frac{4}{8}$ is less than $\frac{5}{8}$ , the correct sign is <.