Which sign makes the statement true? 9/10 − 5/10 ? 5/10 Choices: (A)> (B)< (C)=

Simplify Left Side: Step 1: Simplify the left side of the equation. Calculation: 9/10 - 5/10 = 4/10 Short reasoning: Subtract the numerators since the denominators are the same.Compare with Right Side: Step 2: Compare the simplified result with the right side of the equation. Calculation: 4/10 ? 5/10 Short reasoning: Determine if 4/10 is greater than, less than, or equal to 5/10.Decide Correct Sign: Step 3: Decide the correct sign. Calculation: 4/10 < 5/10 Short reasoning: Since 4 is less than 5, and the denominators are the same, 4/10 is less than 5/10.

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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{9}{10} - \frac{5}{10}

\frac{5}{10}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify Left Side: Step $1$ : Simplify the left side of the equation. $\newline$ Calculation: $\frac{9}{10} - \frac{5}{10} = \frac{4}{10}$ $\newline$ Short reasoning: Subtract the numerators since the denominators are the same.
Compare with Right Side: Step $2$ : Compare the simplified result with the right side of the equation. $\newline$ Calculation: $\frac{4}{10} ? \frac{5}{10}$ $\newline$ Short reasoning: Determine if $\frac{4}{10}$ is greater than, less than, or equal to $\frac{5}{10}$ .
Decide Correct Sign: Step $3$ : Decide the correct sign. $\newline$ Calculation: \frac{4}{10} < \frac{5}{10} $\newline$ Short reasoning: Since $4$ is less than $5$ , and the denominators are the same, $\frac{4}{10}$ is less than $\frac{5}{10}$ .