Which number is greater than 9 1/10? Choices: (A)8 2/10 (B)9 5/10 (C)8 1/3 (D)9 1/11

Convert to Improper Fractions: Step 1: Convert all mixed numbers to improper fractions for easier comparison. - 9 1/10 = (9*10 + 1)/10 = 91/10 - 8 2/10 = (8*10 + 2)/10 = 82/10 - 9 5/10 = (9*10 + 5)/10 = 95/10 - 8 1/3 = (8*3 + 1)/3 = 25/3Compare to 91/10: Step 2: Compare each fraction to 91/10. - 82/10 is less than 91/10. - 95/10 is greater than 91/10. - Convert 25/3 to a decimal for comparison: 25/3 ≈ 8.33, which is less than 9.1 (91/10 as a decimal).Identify Greater Number: Step 3: Identify the number greater than 91/10. - Among the choices, 95/10 (or 9 5/10) is the only number greater than 91/10.

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Which number is greater than $9\frac{1}{10}$ ? $\newline$ Choices: $\newline$ (A) $8\frac{2}{10}$ $\newline$ (B) $9\frac{5}{10}$ $\newline$ (C) $8\frac{1}{3}$ $\newline$ (D) $9\frac{1}{11}$

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Math Problems

Grade 6

Absolute value of rational numbers

Full solution

Q. Which number is greater than

9\frac{1}{10}

\newline

Choices:

\newline

(A)

8\frac{2}{10}

\newline

(B)

9\frac{5}{10}

\newline

(C)

8\frac{1}{3}

\newline

(D)

9\frac{1}{11}

Convert to Improper Fractions: Step $1$ : Convert all mixed numbers to improper fractions for easier comparison. $\newline$ - $9 \frac{1}{10} = (9\times10 + 1)/10 = \frac{91}{10}$ $\newline$ - $8 \frac{2}{10} = (8\times10 + 2)/10 = \frac{82}{10}$ $\newline$ - $9 \frac{5}{10} = (9\times10 + 5)/10 = \frac{95}{10}$ $\newline$ - $8 \frac{1}{3} = (8\times3 + 1)/3 = \frac{25}{3}$
Compare to $\frac{91}{10}$ : Step $2$ : Compare each fraction to $\frac{91}{10}$ . $\newline$ - $\frac{82}{10}$ is less than $\frac{91}{10}$ . $\newline$ - $\frac{95}{10}$ is greater than $\frac{91}{10}$ . $\newline$ - Convert $\frac{25}{3}$ to a decimal for comparison: $\frac{25}{3} \approx 8.33$ , which is less than $9.1$ ( $\frac{91}{10}$ as a decimal).
Identify Greater Number: Step $3$ : Identify the number greater than $\frac{91}{10}$ . $\newline$ - Among the choices, $\frac{95}{10}$ (or $9 \frac{5}{10}$ ) is the only number greater than $\frac{91}{10}$ .