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

Convert to Improper Fraction: Convert all mixed numbers to improper fractions for easier comparison. 6 4/7 = (6*7 + 4)/7 = 46/7. Convert Choice (A): Convert choice (A) 6 5/7 to an improper fraction: (6*7 + 5)/7 = 47/7. Convert Choice (C): Convert choice (C) 6 3/12 to an improper fraction. First simplify 3/12 to 1/4. Then, 6 1/4 = (6*4 + 1)/4 = 25/4. Convert Choice (D): Convert choice (D) 6 2/5 to an improper fraction: (6*5 + 2)/5 = 32/5. Compare Fractions: Compare each fraction to 46/7. 47/7 > 46/7, 25/4 and 32/5 are both less than 46/7. Identify Greater Number: Therefore, the only number greater than 6 4/7 is 6 5/7.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 1

Does (x, y) satisfy the inequality?

Full solution

Q. Which number is greater than

6\frac{4}{7}

\newline

Choices:

\newline

(A)

6\frac{5}{7}

\newline

(B)

6\frac{4}{7}

\newline

(C)

6\frac{3}{12}

\newline

(D)

6\frac{2}{5}

Convert to Improper Fraction: Convert all mixed numbers to improper fractions for easier comparison. $6 \frac{4}{7} = (6\times7 + 4)/7 = \frac{46}{7}$ .
Convert Choice (A): Convert choice (A) $6\frac{5}{7}$ to an improper fraction: $(6\times7 + 5)/7 = \frac{47}{7}$ .
Convert Choice (C): Convert choice (C) $6\frac{3}{12}$ to an improper fraction. First simplify $\frac{3}{12}$ to $\frac{1}{4}$ . Then, $6\frac{1}{4} = (6\times4 + 1)/4 = \frac{25}{4}$ .
Convert Choice (D): Convert choice (D) $6 \frac{2}{5}$ to an improper fraction: $(6\times 5 + 2)/5 = \frac{32}{5}$ .
Compare Fractions: Compare each fraction to $\frac{46}{7}$ . \frac{47}{7} > \frac{46}{7}, $\frac{25}{4}$ and $\frac{32}{5}$ are both less than $\frac{46}{7}$ .
Identify Greater Number: Therefore, the only number greater than $6 \frac{4}{7}$ is $6 \frac{5}{7}$ .