Question Prompt: question_prompt: What is the result of dividing (2)/(-3) by 2(3)/(4)? Step 1: Step 1: Write the division as a multiplication by the reciprocal of the second fraction. (2)/(-3) ÷ 2(3)/(4) = (2)/(-3) * (4)/(2*3) Step 2: Step 2: Simplify the second fraction before multiplying. (4)/(2*3) = (4)/(6) = (2)/(3) Step 3: Step 3: Now multiply the numerators and the denominators of the two fractions. (2)/(-3) * (2)/(3) = (2*2)/(-3*3) Step 4: Step 4: Calculate the multiplication. (2*2)/(-3*3) = (4)/(-9) Step 5: Step 5: Since both the numerator and the denominator are negative, the result is positive. (4)/(-9) = -4/9

Grade 7

Multiply and divide integers

Full solution

\frac{2}{-3} \div 2 \frac{3}{4}=

Question Prompt: question_prompt: What is the result of dividing $(2)/(-3)$ by $2(3)/(4)$ ?
Step $1$ : Step $1$ : Write the division as a multiplication by the reciprocal of the second fraction. $\newline$ $(2)/(-3) \div 2(3)/(4) = (2)/(-3) \times (4)/(2\times3)$
Step $2$ : Step $2$ : Simplify the second fraction before multiplying. $\newline$ $(4)/(2\times3) = (4)/(6) = (2)/(3)$
Step $3$ : Step $3$ : Now multiply the numerators and the denominators of the two fractions. $\newline$ $(\frac{2}{-3}) \times (\frac{2}{3}) = \frac{2 \times 2}{-3 \times 3}$
Step $4$ : Step $4$ : Calculate the multiplication. $\newline$ $(2\times2)/(-3\times3) = (4)/(-9)$
Step $5$ : Step $5$ : Since both the numerator and the denominator are negative, the result is positive. $\newline$ $(4)/(-9) = -\frac{4}{9}$