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 the expression shown below and write your answer as a fraction in simplest form. (8)/(9)-(1)/(6) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline89−16 \frac{8}{9}-\frac{1}{6} \newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Roots of rational numbersright chevron icon

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline89−16 \frac{8}{9}-\frac{1}{6} \newlineAnswer:
  1. Find Common Denominator: Find a common denominator for the fractions (89)(\frac{8}{9}) and (16)(\frac{1}{6}).\newlineThe least common multiple (LCM) of 99 and 66 is 1818, so the common denominator will be 1818.
  2. Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of 1818. For (89)(\frac{8}{9}), multiply both the numerator and the denominator by 22 to get (1618)(\frac{16}{18}). For (16)(\frac{1}{6}), multiply both the numerator and the denominator by 33 to get (318)(\frac{3}{18}).
  3. Subtract Fractions: Subtract the two fractions with the common denominator.\newline(1618)−(318)=16−318=1318(\frac{16}{18}) - (\frac{3}{18}) = \frac{16 - 3}{18} = \frac{13}{18}
  4. Check for Simplification: Check if the resulting fraction can be simplified further. The numerator 1313 and the denominator 1818 have no common factors other than 11, so the fraction is already in its simplest form.

More problems from Roots of rational numbers

Question
Find the real-number root. \newline16\sqrt{16}\newline\newlineWrite your answer in simplified form. \newline____\_\_\_\_
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the real-number root. \newline916\sqrt{\frac{9}{16}}\newlineSimplify your answer and write it as a decimal or as a proper or improper fraction.\newline_____\_\_\_\_\_
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth. \newline`\sqrt{957} `\newline _______
Get tutor helpright-arrow

Posted 9 months ago

Question
Multiply. Write your answer in simplest form. \newline273×42\sqrt{273} \times \sqrt{42}\newline______
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify. \newline634\sqrt{\frac{63}{4}}\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Rationalize the denominator.\newline−49−2\frac{-4}{9 - \sqrt{2}}\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for z z .\newline16=z 16 = \sqrt{z} \newlinez= z = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify the radical expression. 14x14 \sqrt{14x^{14}} Write your answer in the form A A , B \sqrt{B} , or AB A\sqrt{B} , where A A and B B are constants or expressions in x x . Use at most one radical in your answer, and at most one absolute value symbol in your expression for A A . ______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify the radical expression.\newline12x12\sqrt{12x^{12}}\newlineWrite your answer in the form AA, B\sqrt{B}, or ABA\sqrt{B}, where AA and BB are constants or expressions in xx. Use at most one radical in your answer, and at most one absolute value symbol in your expression for AA.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the value of sin⁡(5π6)? \sin \left(\frac{5 \pi}{6}\right) ? \newlineChoose 11 answer:\newline(A) −32 -\frac{\sqrt{3}}{2} \newline(B) −22 -\frac{\sqrt{2}}{2} \newline(C) 12 \frac{1}{2} \newline(D) 150150
Get tutor helpright-arrow

Posted 10 months ago

View all (169)

Related topics

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