Which number is between 5 5/12 and 8 5/8? Choices: (A)5 2/9 (B)4 3/8 (C)6 1/2 (D)4 2/5

Convert to improper fractions: Convert mixed numbers to improper fractions for easier comparison. Compare fractions: Convert all choices to improper fractions to compare. Common denominator comparison: Convert all fractions to a common denominator to compare sizes. Check for fractions between: Check which fractions are between 390/72 and 621/72.

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Which number is between $5\frac{5}{12}$ and $8\frac{5}{8}$ ? $\newline$ Choices: $\newline$ (A) $5\frac{2}{9}$ $\newline$ (B) $4\frac{3}{8}$ $\newline$ (C) $6\frac{1}{2}$ $\newline$ (D) $4\frac{2}{5}$

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Math Problems

Grade 7

Compare mixed numbers and improper fractions

Full solution

Q. Which number is between

5\frac{5}{12}

and

8\frac{5}{8}

\newline

Choices:

\newline

(A)

5\frac{2}{9}

\newline

(B)

4\frac{3}{8}

\newline

(C)

6\frac{1}{2}

\newline

(D)

4\frac{2}{5}

Convert to improper fractions: Convert mixed numbers to improper fractions for easier comparison.
Compare fractions: Convert all choices to improper fractions to compare.
Common denominator comparison: Convert all fractions to a common denominator to compare sizes.
Check for fractions between: Check which fractions are between $\frac{390}{72}$ and $\frac{621}{72}$ .