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 (1)/(3)m-1-(1)/(2)n when m=21 and n=12.

Evaluate (1)/(3)m−1−(1)/(2)n(1)/(3)m-1-(1)/(2)n when m=21m=21 and n=12n=12.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Evaluate variable expressions involving rational numbersright chevron icon

Full solution

Q. Evaluate (1)/(3)m−1−(1)/(2)n(1)/(3)m-1-(1)/(2)n when m=21m=21 and n=12n=12.
  1. Given Values: We are given: \newlinem=21m = 21\newlinen=12n = 12\newlineExpression = (13)m−(12)n(\frac{1}{3})m - (\frac{1}{2})n\newlineIdentify the expression after substituting the values of mm and nn.\newlineSubstitute 2121 for mm and 1212 for nn in the expression.\newline(13)⋅21−(12)⋅12(\frac{1}{3})\cdot21 - (\frac{1}{2})\cdot12
  2. Identify Expression: Calculate the first term (13)×21(\frac{1}{3})\times 21.\newlineDivide 2121 by 33.\newline213=7\frac{21}{3} = 7
  3. Calculate First Term: Calculate the second term (12)×12(\frac{1}{2})\times 12.\newlineDivide 1212 by 22.\newline122=6\frac{12}{2} = 6
  4. Calculate Second Term: Subtract the second term from the first term.\newline7−67 - 6
  5. Subtract Terms: Perform the subtraction. 7−6=17 - 6 = 1

More problems from Evaluate variable expressions involving rational numbers

Question
Evaluate the expression for j=7 j = 7 .\newline2j= 2j = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Evaluate the expression for y=4 y = 4 and z=5 z = 5 . \newline yz= yz = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate the expression for t=0 t = 0 .\newline∣−4−t∣=|-4 - t| = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Dale drew 88 pictures. Belle drew pp fewer pictures than Dale. Choose the expression that shows how many pictures Belle drew. \newlineChoices: \newline(A) 88\newline(B) p−8p - 8\newline(C) 8+p8 + p\newline(D) 8−p8 - p
Get tutor helpright-arrow

Posted 9 months ago

Question
Write an expression for the sequence of operations described below. subtract 55 from 66, then add ww to the result Do not simplify any part of the expression. ______
Get tutor helpright-arrow

Posted 9 months ago

Question
Write an expression for the operation described below. \newlinesubtract 44 from aa \newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
John baked 1212 cookies. Alice baked nn fewer cookies than John.\newline Choose the expression that shows how many cookies Alice baked.\newline Choices:\newline(A) 1212\newline(B) n−12n - 12\newline(C) 12+n12 + n\newline(D) 12−n12 - n
Get tutor helpright-arrow

Posted 10 months ago

Question
Emma read 1515 books. Lucas read bb fewer books than Emma. Choose the expression that shows how many books Lucas read.\newlineChoices:\newline(A) 1515\newline(B) b−15b - 15\newline(C) 15+b15 + b\newline(D) 15−b15 - b
Get tutor helpright-arrow

Posted 10 months ago

Question
Max ran 1010 miles. Sarah ran mm fewer miles than Max. Choose the expression that shows how many miles Sarah ran.\newlineChoices:\newline(A)10(A)10\newline(B)m−10(B)m - 10\newline(C)10+m(C)10 + m\newline(D)10−m(D)10 - m
Get tutor helpright-arrow

Posted 10 months ago

Question
Carlos wrote 2020 poems. Fiona wrote pp fewer poems than Carlos. Choose the expression that shows how many poems Fiona wrote.\newlineChoices:\newline(A) 2020\newline(B) p−20p - 20\newline(C) 20+p20 + p\newline(D) 20−p20 - p
Get tutor helpright-arrow

Posted 10 months ago

View all (126)

Related topics

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