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Mathematics Class 7

Working with Fractions

Add, take away, multiply and divide fractions, shown with strips and grids.

19 lessons · ~109 min total

Track progress — 0 of 19 lessons read 0%

Lessons in this topic

  1. 0 Start here A roadmap from renaming pieces to multiplying and dividing fractions. · 3 min You are here
  2. 1 More than one whole A mixed number and a top-heavy fraction are two names for one amount. · 5 min
  3. 2 Renaming until the pieces match Pieces of different sizes have to be renamed to one shared size before anything can be done with them. · 5 min
  4. 3 Adding pieces that do not match Rename both onto one shared bottom number, then add the tops and leave that bottom number alone. · 6 min
  5. 4 Taking one fraction from another The same renaming move, to take one fraction away from another. · 6 min
  6. 5 Wholes and parts together Two routes through a mixed number sum, with the carry and the borrow. · 6 min
  7. 6 Checkpoint: renaming, adding and taking away A quick graded check on the first five ideas — two names, one shared cut, and pieces going on or coming off. · 5 min
  8. 7 A fraction of a whole number Two thirds of twelve is a share and a count, and that pair of moves is a multiplication. · 6 min
  9. 8 A fraction of a fraction One cut across another — multiply the tops, multiply the bottoms, and the tray shows why. · 6 min
  10. 9 When multiplying makes it smaller The multiplier decides which way the answer moves — and a top below the bottom moves it down. · 6 min
  11. 10 The number that undoes a fraction Swap a fraction top for bottom and the two of them multiply to exactly one. · 6 min
  12. 11 How many of these fit inside that Dividing by a fraction asks how many copies of it fit — and that is the same as multiplying by its flip. · 6 min
  13. 12 Checkpoint: multiplying and dividing A quick graded check on taking a part of something, which way a multiplier moves an answer, the flip, and counting copies. · 5 min
  14. 13 Cancel before you multiply Cancel a top against a bottom first, and the numbers stay small. · 6 min
  15. 14 Share a fraction equally Sharing a fraction among some children makes the bottom number grow. · 6 min
  16. 15 When dividing makes it bigger A divisor between 0 and 1 grows the amount. Above 1 shrinks it. · 6 min
  17. 16 A fraction of what is left Take the second fraction from what remains, not from the whole. · 6 min
  18. 17 The big picture Fourteen ideas, in the order you learned them. · 4 min
  19. 18 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 10 min