Which number is less than 3 5/8? Choices: (A)4 3/8 (B)3 5/8 (C)4 5/8 (D)3 1/3

Convert to Improper Fraction: Convert 3 5/8 to an improper fraction for easier comparison. Calculation: $3 \frac{5}{8} = \frac{3 \times 8 + 5}{8} = \frac{29}{8}$.Compare Fractions: Convert 4 3/8 to an improper fraction. Calculation: $4 \frac{3}{8} = \frac{4 \times 8 + 3}{8} = \frac{35}{8}$.Convert to Improper Fraction: Compare 4 3/8 with 3 5/8. Calculation: $\frac{35}{8} > \frac{29}{8}$.Compare Fractions: Convert 4 5/8 to an improper fraction. Calculation: $4 \frac{5}{8} = \frac{4 \times 8 + 5}{8} = \frac{37}{8}$.Convert to Improper Fraction: Compare 4 5/8 with 3 5/8. Calculation: $\frac{37}{8} > \frac{29}{8}$.Convert to Decimal: Convert 3 1/3 to an improper fraction. Calculation: $3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}$.Compare Decimals: Convert $\frac{10}{3}$ to a decimal for comparison. Calculation: $\frac{10}{3} \approx 3.333$. Compare 3 1/3 with 3 5/8. Calculation: $3.333 < 3.625$.

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Math Problems

Grade 6

Absolute value of rational numbers

Full solution

Q. Which number is less than

3\frac{5}{8}

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Choices:

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(A)

4\frac{3}{8}

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(B)

3\frac{5}{8}

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(C)

4\frac{5}{8}

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(D)

3\frac{1}{3}

Convert to Improper Fraction: Convert $3$ $5$ / $8$ to an improper fraction for easier comparison. $\newline$ Calculation: $3 \frac{5}{8} = \frac{3 \times 8 + 5}{8} = \frac{29}{8}$ .
Compare Fractions: Convert $4$ $3$ / $8$ to an improper fraction. $\newline$ Calculation: $4 \frac{3}{8} = \frac{4 \times 8 + 3}{8} = \frac{35}{8}$ .
Convert to Improper Fraction: Compare $4$ $3$ / $8$ with $3$ $5$ / $8$ . $\newline$ Calculation: \frac{35}{8} > \frac{29}{8}.
Compare Fractions: Convert $4$ $5$ / $8$ to an improper fraction. $\newline$ Calculation: $4 \frac{5}{8} = \frac{4 \times 8 + 5}{8} = \frac{37}{8}$ .
Convert to Improper Fraction: Compare $4$ $5$ / $8$ with $3$ $5$ / $8$ . $\newline$ Calculation: \frac{37}{8} > \frac{29}{8}.
Convert to Decimal: Convert $3$ $1$ / $3$ to an improper fraction. $\newline$ Calculation: $3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}$ .
Compare Decimals: Convert $\frac{10}{3}$ to a decimal for comparison. $\newline$ Calculation: $\frac{10}{3} \approx 3.333$ .
Compare Decimals: Convert $\frac{10}{3}$ to a decimal for comparison. $\newline$ Calculation: $\frac{10}{3} \approx 3.333$ . Compare $3$ $1$ / $3$ with $3$ $5$ / $8$ . $\newline$ Calculation: 3.333 < 3.625.