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:

523−112=n5\frac{2}{3} - 1\frac{1}{2} = n

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Add and subtract rational numbersright chevron icon

Full solution

Q. 523−112=n5\frac{2}{3} - 1\frac{1}{2} = n
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions.\newline523=(5×3+2)/3=1735 \frac{2}{3} = (5\times3 + 2)/3 = \frac{17}{3}\newline112=(1×2+1)/2=321 \frac{1}{2} = (1\times2 + 1)/2 = \frac{3}{2}
  2. Find Common Denominator and Subtract: Find a common denominator and subtract the fractions.\newlineCommon denominator of 33 and 22 is 66.\newline173=(17×23×2)=346\frac{17}{3} = \left(\frac{17\times2}{3\times2}\right) = \frac{34}{6}\newline32=(3×32×3)=96\frac{3}{2} = \left(\frac{3\times3}{2\times3}\right) = \frac{9}{6}\newline346−96=256\frac{34}{6} - \frac{9}{6} = \frac{25}{6}
  3. Convert Back to Mixed Number: Convert the improper fraction back to a mixed number. 256=4\frac{25}{6} = 4 remainder 11 So, 256=416\frac{25}{6} = 4 \frac{1}{6}

More problems from Add and subtract rational numbers

Question
xx+3=x+2x+6.2\frac{x}{x+3} = \frac{x+2}{x+6.2} Find `x`
Get tutor helpright-arrow

Posted 3 months ago

Question
The least amount of wrapping paper needed to wrap a cube-shaped gift is 150150 square inches. How long is one side of the gift?
Get tutor helpright-arrow

Posted 2 months ago

Question
Which expression is equivalent to 30.4+(−40.4) 30.4+(-40.4) ?\newline30.4−40.4 30.4-40.4 \newline40.4−30.4 40.4-30.4 \newline−40.4+(−30.4) -40.4+(-30.4) \newline−40.4−30.4 -40.4-30.4
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for n n and simplify your answer.\newline−6=23n -6=\frac{2}{3} n \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
3+2.5×5−4×8=3+2.5\times 5-4\times 8=
Get tutor helpright-arrow

Posted 3 months ago

Question
A local package delivery service wants to improve the efficiency of its deliveries. As a first step, the management team decides to conduct a study to determine the average length of time from the arrival of a package at the company's mail center until its delivery at a home. Which of the following methods is most likely to produce valid results? \newlineChoose 11 answer:\newline(A) The team selects the 1,0001,000 heaviest packages in a one-week, non-holiday period and records how long it takes for each package to reach its destination.\newline(B) The team calls 1,0001,000 residents in their delivery area and asks them whether they have received a package from their service in the past week. They will then record how long it took for those packages to reach their destination.\newline(C) The team selects a random sample of 1,0001,000 packages arriving at the center over a one-week, non-holiday period and records how long it takes for each package to reach its destination.\newline(D) None of the above
Get tutor helpright-arrow

Posted 3 months ago

Question
8+2.7=8+2.7=
Get tutor helpright-arrow

Posted 3 months ago

Question
(1.5−2.9i)+(4.3+1.4i)(1.5-2.9 i)+(4.3+1.4 i)
Get tutor helpright-arrow

Posted 3 months ago

Question
A baker uses 33 cups (c)(c) of flour to bake 22 loaves of bread. If 11 pound (lb)(lb) of flour is equivalent to 313c,3\frac{1}{3} c , how many loaves of bread can the baker make with a 1010 lblb - bag of flour? \newline (Round the answer to the nearest whole number.) \newline □\square
Get tutor helpright-arrow

Posted 3 months ago

Question
Multiply:\newline−0.1×−25= -0.1 \times \frac{-2}{5}=
Get tutor helpright-arrow

Posted 3 months ago

View all (48)