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:

Vijay made a block of scented soap which weighed 8128\frac{1}{2} pounds. He divided the soap into 33 equal pieces. How much did each piece of soap weigh?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ pounds

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Multiply and divide rational numbers: word problemsright chevron icon

Full solution

Q. Vijay made a block of scented soap which weighed 8128\frac{1}{2} pounds. He divided the soap into 33 equal pieces. How much did each piece of soap weigh?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ pounds
  1. Convert to Improper Fraction: Convert the mixed number to an improper fraction.\newline812=(8×2+1)/2=1728 \frac{1}{2} = (8 \times 2 + 1)/2 = \frac{17}{2}
  2. Divide Total Weight: Divide the total weight by 33 to find the weight of each piece.\newline(172)÷3=172×13=176\left(\frac{17}{2}\right) \div 3 = \frac{17}{2} \times \frac{1}{3} = \frac{17}{6}
  3. Simplify Fraction: Simplify the fraction if possible. 176\frac{17}{6} cannot be simplified further

More problems from Multiply and divide rational numbers: word problems

Question
Subtract.\newline(14)−(34)=(\frac{1}{4}) − (\frac{3}{4}) = _____
Get tutor helpright-arrow

Posted 7 months ago

Question
Multiply. 14×(−12)=\frac{1}{4} \times \left(-\frac{1}{2}\right) = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
(7+7)⋅(7+17)=(7+7)\cdot(7+\frac {1}{7})= ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate.\newline25÷16= \frac{2}{5} \div \frac{1}{6}=
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate.\newline12+63= \frac{12+6}{3}=
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify 43\frac{4}{3}
Get tutor helpright-arrow

Posted 6 months ago

Question
21.45221.452 divided by 0.620.62
Get tutor helpright-arrow

Posted 7 months ago

Question
Grace examines two different size bottles of the same laundry detergent. The price for the 100100 ounce bottle is $9.99\$9.99 and the price for the 150150-ounce bottle is $12.99\$12.99. How much money will Grace save per 100100 ounces if she purchases the larger bottle?\newlineChoose 11 answer:\newline(A) $0.01\$0.01\newline(B) $1.33\$1.33\newline(C) $2.00\$2.00\newline(D) $8.66\$8.66
Get tutor helpright-arrow

Posted 8 months ago

Question
Genovia is a city-state with approximately 50,00050,000 citizens. In a recent newspaper poll of the citizens of Genovia, 34\frac{3}{4} of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?\newlineChoose 11 answer:\newline(A) 12,50012,500\newline(B) 30,00030,000\newline(C) 37,50037,500\newline(D) 45,00045,000
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the slope of the line through (−10,1)(-10,1) and (0,−4)(0,-4)? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer. \newline_____
Get tutor helpright-arrow

Posted 8 months ago

View all (27)

Related topics

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