1(1)/(8)÷(-(3)/(7))=

Convert to Improper Fraction: Convert mixed number to improper fraction. 1(1)/(8) = (8/8 + 1/8) = 9/8Change Division to Multiplication: Keep the first fraction, change division to multiplication, and flip the second fraction (reciprocal). 9/8 ÷ -(3)/(7) = 9/8 * -(7)/(3)Multiply Numerators and Denominators: Multiply the numerators and multiply the denominators. (9 * -7) / (8 * 3) = -63 / 24Simplify the Fraction: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3. -63 ÷ 3 = -21, 24 ÷ 3 = 8 -21/8

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$1 \frac{1}{8} \div\left(-\frac{3}{7}\right)=$

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Grade 8

Powers with negative bases

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1 \frac{1}{8} \div\left(-\frac{3}{7}\right)=

Convert to Improper Fraction: Convert mixed number to improper fraction. $\newline$ $1\frac{1}{8} = \left(\frac{8}{8} + \frac{1}{8}\right) = \frac{9}{8}$
Change Division to Multiplication: Keep the first fraction, change division to multiplication, and flip the second fraction (reciprocal). $\newline$ $\frac{9}{8} \div -\frac{3}{7} = \frac{9}{8} \times -\frac{7}{3}$
Multiply Numerators and Denominators: Multiply the numerators and multiply the denominators. $\newline$ $(9 \times -7) / (8 \times 3) = -63 / 24$
Simplify the Fraction: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is $3$ . $-63 \div 3 = -21$ , $24 \div 3 = 8$ $-\frac{21}{8}$