Which numbers are greater than 8 1/4? Multi-select Choices: (A)8 1/5 (B)8 5/7 (C)7 6/10 (D)9 3/9

Convert to Improper Fraction: Convert 8 1/4 to an improper fraction for easier comparison. Calculation: $8 \frac{1}{4} = \frac{8 \times 4 + 1}{4} = \frac{33}{4}$.Compare Choices: Compare each choice to $ \frac{33}{4} $. Calculation for (A) 8 1/5: $8 \frac{1}{5} = \frac{8 \times 5 + 1}{5} = \frac{41}{5}$. Convert $ \frac{41}{5} $ to a decimal: $ \frac{41}{5} = 8.2 $. Compare: $ \frac{33}{4} = 8.25 $, so 8.2 8.25.Calculation for (B): Calculation for (C) 7 6/10: $7 \frac{6}{10} = \frac{7 \times 10 + 6}{10} = \frac{76}{10}$. Convert $ \frac{76}{10} $ to a decimal: $ \frac{76}{10} = 7.6 $. Compare: 7.6 8.25.

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Math Problems

Grade 6

Absolute value of rational numbers

Full solution

Q. Which numbers are greater than

8\frac{1}{4}

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Multi-select Choices:

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(A)

8\frac{1}{5}

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(B)

8\frac{5}{7}

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(C)

7\frac{6}{10}

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(D)

9\frac{3}{9}

Convert to Improper Fraction: Convert $8$ $1$ / $4$ to an improper fraction for easier comparison. $\newline$ Calculation: $8 \frac{1}{4} = \frac{8 \times 4 + 1}{4} = \frac{33}{4}$ .
Compare Choices: Compare each choice to $\frac{33}{4}$ . $\newline$ Calculation for (A) $8$ $1$ / $5$ : $8 \frac{1}{5} = \frac{8 \times 5 + 1}{5} = \frac{41}{5}$ . Convert $\frac{41}{5}$ to a decimal: $\frac{41}{5} = 8.2$ . Compare: $\frac{33}{4} = 8.25$ , so $8$ . $2$ < $8$ . $25$ .
Calculation for (A): Calculation for (B) $8$ $5$ / $7$ : $8 \frac{5}{7} = \frac{8 \times 7 + 5}{7} = \frac{61}{7}$ . Convert $\frac{61}{7}$ to a decimal: $\frac{61}{7} = 8.714$ . Compare: $8$ . $714$ > $8$ . $25$ .
Calculation for (B): Calculation for (C) $7$ $6$ / $10$ : $7 \frac{6}{10} = \frac{7 \times 10 + 6}{10} = \frac{76}{10}$ . Convert $\frac{76}{10}$ to a decimal: $\frac{76}{10} = 7.6$ . Compare: $7$ . $6$ < $8$ . $25$ .
Calculation for (C): Calculation for (D) $9$ $3$ / $9$ : $9 \frac{3}{9} = \frac{9 \times 9 + 3}{9} = \frac{84}{9}$ . Convert $\frac{84}{9}$ to a decimal: $\frac{84}{9} = 9.333$ . Compare: $9$ . $333$ > $8$ . $25$ .