Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate and simplify the following complex fraction. ((2)/(3))/((4)/(-9))=

Evaluate and simplify the following complex fraction.\newline234−9=□ \frac{\frac{2}{3}}{\frac{4}{-9}}=\square

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Negative Exponentsright chevron icon

Full solution

Q. Evaluate and simplify the following complex fraction.\newline234−9=□ \frac{\frac{2}{3}}{\frac{4}{-9}}=\square
  1. Find Reciprocal: First, let's find the reciprocal of the denominator 4−9\frac{4}{-9}.\newlineReciprocal: −94\frac{-9}{4}
  2. Multiply Numerator: Now, multiply the numerator 23\frac{2}{3} by the reciprocal of the denominator −94\frac{-9}{4}.23×−94\frac{2}{3} \times \frac{-9}{4}
  3. Perform Multiplication: Perform the multiplication.\newline(2×−9)/(3×4)=−18/12(2 \times -9) / (3 \times 4) = -18 / 12
  4. Simplify Fraction: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 66. \newline−1812=−32-\frac{18}{12} = -\frac{3}{2}

More problems from Negative Exponents

Question
Factor completely.\newline2x4+4x3−30x2= 2 x^{4}+4 x^{3}-30 x^{2}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Factor completely.\newline7x5−21x4+14x3= 7 x^{5}-21 x^{4}+14 x^{3}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline12÷115= 12 \div 1 \frac{1}{5}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline5÷313= 5 \div 3 \frac{1}{3}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline8÷145= 8 \div 1 \frac{4}{5}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the following expression.\newline40⋅8−102= 40 \cdot 8-10^{2}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the following expression.\newline9+62−2⋅8= 9+6^{2}-2 \cdot 8=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the expression. Do not round your answer.\newline(3+2)2−7= (3+2)^{2}-7=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the expression.\newlineDo not round your answer.\newline(4+3)2+5= (4+3)^{2}+5=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate the following expression.\newline33−10+7= 3^{3}-10+7=
Get tutor helpright-arrow

Posted 10 months ago

View all (38)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant