Which sign makes the statement true? 2/4 ? 1/4 + 1/8 Choices: (A)> (B)< (C)=

Simplify and Calculate Sum: Step 1: Simplify the fractions and calculate the sum on the right side of the equation. 2/4 simplifies to 1/2. 1/4 + 1/8 needs a common denominator, which is 8. Convert 1/4 to 2/8. Now, add 2/8 + 1/8 = 3/8.Compare and Determine Sign: Step 2: Compare 1/2 and 3/8 to determine the correct sign. Convert 1/2 to a fraction with denominator 8 for easy comparison: 1/2 = 4/8. Now compare 4/8 and 3/8. Since 4/8 is greater than 3/8, the correct sign is '>'.

Home

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{2}{4}

\text{?}

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

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify and Calculate Sum: Step $1$ : Simplify the fractions and calculate the sum on the right side of the equation. $\newline$ $\frac{2}{4}$ simplifies to $\frac{1}{2}$ . $\newline$ $\frac{1}{4} + \frac{1}{8}$ needs a common denominator, which is $8$ . Convert $\frac{1}{4}$ to $\frac{2}{8}$ . $\newline$ Now, add $\frac{2}{8} + \frac{1}{8} = \frac{3}{8}$ .
Compare and Determine Sign: Step $2$ : Compare $\frac{1}{2}$ and $\frac{3}{8}$ to determine the correct sign. $\newline$ Convert $\frac{1}{2}$ to a fraction with denominator $8$ for easy comparison: $\frac{1}{2} = \frac{4}{8}$ . $\newline$ Now compare $\frac{4}{8}$ and $\frac{3}{8}$ . $\newline$ Since $\frac{4}{8}$ is greater than $\frac{3}{8}$ , the correct sign is '>'.