Divide. 3 1/7 ÷ 1 5/7 = _____

Convert to Improper Fractions: Convert mixed numbers to improper fractions. 3 1/7 becomes (3*7 + 1)/7 = 22/7, and 1 5/7 becomes (1*7 + 5)/7 = 12/7. Division by Reciprocal: Perform division by multiplying by the reciprocal. (22/7) ÷ (12/7) = (22/7) * (7/12). Simplify Multiplication: Simplify the multiplication. (22/7) * (7/12) = 22 * 7 / 7 * 12 = 22/12 = 11/6.

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Divide. $\newline$ $3\frac{1}{7}$ $\div$ $1\frac{5}{7}$ = _____

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Grade 6

Add, subtract, multiply, or divide two fractions

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Q. Divide.

\newline

3\frac{1}{7}

\div

1\frac{5}{7}

= _____

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $3 \frac{1}{7}$ becomes $(3\times7 + 1)/7 = \frac{22}{7}$ , and $1 \frac{5}{7}$ becomes $(1\times7 + 5)/7 = \frac{12}{7}$ .
Division by Reciprocal: Perform division by multiplying by the reciprocal. $(\frac{22}{7}) \div (\frac{12}{7}) = (\frac{22}{7}) \times (\frac{7}{12})$ .
Simplify Multiplication: Simplify the multiplication. $(22/7) \times (7/12) = 22 \times 7 / 7 \times 12 = 22/12 = 11/6$ .