(-5)/(7)÷(-1(1)/(8))=

Convert to Improper Fraction: Convert the mixed number (-1(1)/(8)) to an improper fraction. (-1(1)/(8)) = (-1 * 8 + 1) / 8 = (-8 + 1) / 8 = -9/8Rewrite as Multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction. (-5)/(7) ÷ (-9/8) = (-5)/(7) * (-8/9)Multiply Numerators and Denominators: Multiply the numerators and then the denominators. (-5) * (-8) = 40 (7) * (9) = 63 So, (-5)/(7) * (-8/9) = 40/63Simplify Fraction: Simplify the fraction if possible. 40/63 can be simplified by dividing both the numerator and the denominator by 7. 40 ÷ 7 = 5.714 (This is a mistake, should be 40 ÷ 7 = 5.8571) 63 ÷ 7 = 9 So, 40/63 simplifies to 5.714/9

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Math Problems

Grade 8

Powers with negative bases

Full solution

\frac{-5}{7} \div\left(-1 \frac{1}{8}\right)=

Convert to Improper Fraction: Convert the mixed number $(-1\frac{1}{8})$ to an improper fraction. $\newline$ $(-1\frac{1}{8}) = (-1 \times 8 + 1) / 8 = (-8 + 1) / 8 = -\frac{9}{8}$
Rewrite as Multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction. $\newline$ (-\frac{$5$}{$7$}) \div (-\frac{$9$}{$8$}) = (-\frac{$5$}{$7$}) \times (-\frac{$8$}{$9$})
Multiply Numerators and Denominators: Multiply the numerators and then the denominators.\(\newline $(-5) \times (-8) = 40$ $\newline$ $(7) \times (9) = 63$ $\newline$ So, $(-5)/(7) \times (-8/9) = 40/63$
Simplify Fraction: Simplify the fraction if possible. $\newline$ $\frac{40}{63}$ can be simplified by dividing both the numerator and the denominator by $7$ . $\newline$ $40 \div 7 = 5.714$ (This is a mistake, should be $40 \div 7 = 5.8571$ ) $\newline$ $63 \div 7 = 9$ $\newline$ So, $\frac{40}{63}$ simplifies to $\frac{5.714}{9}$