Lesson OVERVIEW of my lessons on fractions

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> Lesson OVERVIEW of my lessons on fractions      Log On


   

This Lesson (OVERVIEW of my lessons on fractions) was created by by ikleyn(52754) About Me : View Source, Show
About ikleyn:

OVERVIEW of my lessons on fractions


Below is the list of my lessons on fractions in this site:
    Using fractions to solve word problems
    Using fractions to solve Travel problems
    Calculations with fractions
    Advanced problems on ratios
    Entertainment problems on fractions

List of lessons with short annotations

Using fractions to solve word problems

        Problem 1.  Andrew can cover the roof of a house in  3  days.   Bill can make this job in  6  days.
                           How long will it take to Andrew and Bill to complete the job working together?

        Problem 2.  One team of workers can install solar panels on the roof of a house in  15  days by covering the entire roof area.
                           The second team of workers can complete this job in  10  days.
                           How long will it take for two teams to complete the job working together?

        Problem 3.  One tube can fill the reservoir with the water in  12  hours.
                           The second tube can fill the reservoir with the water in  36  hours,  if works separately.
                           How long will it take to fill the reservoir,  if two tubes work simultaneously?

        Problem 4.  An elephant can drink all the water from a reservoir in  4  days.
                           The rhinoceros can drink all the water from the same reservoir in  12  days,  if drinks alone.
                           How long will it take to empty the reservoir,  if the elephant and the rhinoceros drink together?

        Problem 5.  The tube can fill a reservoir with the water in  3  days.
                           An elephant can drink all the water from the reservoir in  4  days.
                           How long will it take to fill the reservoir,  if the tube fills it and the elephant drinks the water at the same rates?


Using fractions to solve Travel problems

        Problem 1.  The car covers the distance between two cities in  20  hours.  The truck can cover this distance in  30  hours.
                           The car and the truck started moving simultaneously from these cities toward each other.
                           When the car and the truck will get passing each other?

        Problem 2.  The car covers the distance between two cities in  4  hours.  The truck can cover this distance in  6  hours.
                           The car and the truck started moving simultaneously from these cities in one direction in a way that the car follows the truck.
                           When the car will takeover the truck?


Calculations with fractions

        Problem 1.  a)  Calculate  1%2F2 - 1%2F3.     b)  Calculate  1%2F3 - 1%2F4.     c)  Calculate  1%2F4 - 1%2F5.     d)  Calculate  1%2F5 - 1%2F6.     e)  Calculate  1%2F6 - 1%2F7.     

        Problem 2.  Calculate    1%2F%282%2A3%29 + 1%2F%283%2A4%29 + 1%2F%284%2A5%29 + 1%2F%285%2A6%29 + 1%2F%286%2A7%29.

        Problem 3.  a)  Calculate  1%2F2 - 1%2F5.   b)  Calculate  1%2F5 - 1%2F8.   c)  Calculate  1%2F8 - 1%2F11.   d)  Calculate  1%2F11 - 1%2F14.   e)  Calculate  1%2F14 - 1%2F17.   

        Problem 4.  Calculate    1%2F%282%2A5%29 + 1%2F%285%2A8%29 + 1%2F%288%2A11%29 + 1%2F%2811%2A14%29 + 1%2F%2814%2A17%29.

        Problem 5.  Calculate    1%2F%281%2A4%29 + 1%2F%284%2A7%29 + 1%2F%287%2A10%29 + 1%2F%2810%2A13%29 + 1%2F%2813%2A16%29.

        Problem 6.  Calculate    1%2F%283%2A7%29 + 1%2F%287%2A10%29 + 1%2F%2810%2A13%29 + 1%2F%2813%2A16%29 + 1%2F%2816%2A19%29   on your own.

        Problem 7.  Simplify   1%2F%283%5E%28a-b%29+%2B+1%29 + 1%2F%283%5E%28b-a%29+%2B+1%29.


Advanced problems on ratios

        Problem 1.  Alan and Bob share a sum of money.  If Alan gives  1/4  of his money to Bob,  Bob will have twice as much as Alan.
                           What was the ratio of Alan's money to Bob's money at first.

        Problem 2.  At an after school event,  5/9  of the students were 8th graders and the rest were 7th graders.
                           Of the students who were in 7th grade,  the ratio of boys to girls is  3:5.
                           What fraction of ALL students at the after school event were boys who are in the 7th grade?

        Problem 3.  In a condo complex,  2%2F3  of the men were married to  3%2F4  of the women.  What is the ratio of married people
                           to the total adult population of the condo complex?

        Problem 4.  One night,  a guest at an inn couldn't sleep and wanted a snack.  He went down to the kitchen where he found a plate of cupcakes.
                           He was hungry and ate  1/6  of the cupcakes.
                           Later,  his wife was hungry,  couldn't sleep,  and so she went to the kitchen and ate  1/5  of the remaining cupcakes.
                           At 10,  the oldest son ate  1/4  of what his mother had left.
                           At 11,  the second son ate  1/3  of the leftover cupcakes,  and just after him,
                           the daughter ate  1/2  of what her brother had left,  leaving only three cupcakes for the Inn Keeper's birthday party the next day.
                           How many cupcakes were originally on the plate?

Entertainment problems on fractions

        Problem 1.  A container can hold either  60  small boxes or  48  big boxes.
                           If there are already  20  small and  24  big boxes in the container,
                           how many more big boxes can the container still hold?

        Problem 2.  Eleven fidget spinners cost less than  $12.  Twelve fidget spinners cost more than  $13.  How many cents does one fidget spinner cost?

        Problem 3.  Brian had a sum of money.  He spent an equal amount of money each day.
                           After  6  days he had  3/5  of his money left.  3  days later he had  360  dollars left.
                           How much did he have at first?
                           Solve the problem mentally,  in your head,  without using equation  (use logical reasoning,  only).

        Problem 4.  Find the sum of the series   18/12 + 18/20 + 18/30 + 18/42 + ... + 18/1260.

        Problem 5.  The sum of the reciprocals of two numbers is  7.
                           The larger reciprocal exceeds the smaller one by  7/3.  Find the numbers.


This lesson has been accessed 1853 times.