Which number is greater than 6 5/7? Choices: (A)6 4/5 (B)6 2/3 (C)6 7/12 (D)6 1/11

Convert to Improper Fractions: Convert all mixed numbers to improper fractions for easier comparison. 6 5/7 = (6*7 + 5)/7 = 47/7 6 4/5 = (6*5 + 4)/5 = 34/5 6 2/3 = (6*3 + 2)/3 = 20/3 6 7/12 = (6*12 + 7)/12 = 79/12 6 1/11 = (6*11 + 1)/11 = 67/11Compare to Common Denominator: Compare each fraction to 47/7 by converting to a common denominator or using decimal approximation. 47/7 ≈ 6.714 34/5 ≈ 6.8 20/3 ≈ 6.667 79/12 ≈ 6.583 67/11 ≈ 6.091Identify Greater Fraction: Identify which fraction is greater than 47/7. 34/5 is approximately 6.8, which is greater than 6.714.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which number is greater than $6\frac{5}{7}$ ? $\newline$ Choices: $\newline$ (A) $6\frac{4}{5}$ $\newline$ (B) $6\frac{2}{3}$ $\newline$ (C) $6\frac{7}{12}$ $\newline$ (D) $6\frac{1}{11}$

View step-by-step help

Home

Math Problems

Grade 6

Absolute value of rational numbers

Full solution

Q. Which number is greater than

6\frac{5}{7}

\newline

Choices:

\newline

(A)

6\frac{4}{5}

\newline

(B)

6\frac{2}{3}

\newline

(C)

6\frac{7}{12}

\newline

(D)

6\frac{1}{11}

Convert to Improper Fractions: Convert all mixed numbers to improper fractions for easier comparison. $\newline$ $6 \frac{5}{7} = (6\times7 + 5)/7 = \frac{47}{7}$ $\newline$ $6 \frac{4}{5} = (6\times5 + 4)/5 = \frac{34}{5}$ $\newline$ $6 \frac{2}{3} = (6\times3 + 2)/3 = \frac{20}{3}$ $\newline$ $6 \frac{7}{12} = (6\times12 + 7)/12 = \frac{79}{12}$ $\newline$ $6 \frac{1}{11} = (6\times11 + 1)/11 = \frac{67}{11}$
Compare to Common Denominator: Compare each fraction to $\frac{47}{7}$ by converting to a common denominator or using decimal approximation. $\newline$ $\frac{47}{7} \approx 6.714$ $\newline$ $\frac{34}{5} \approx 6.8$ $\newline$ $\frac{20}{3} \approx 6.667$ $\newline$ $\frac{79}{12} \approx 6.583$ $\newline$ $\frac{67}{11} \approx 6.091$
Identify Greater Fraction: Identify which fraction is greater than $\frac{47}{7}$ . $\frac{34}{5}$ is approximately $6.8$ , which is greater than $6.714$ .