Fractions of Numbers Practice

Wednesday 12/17/08

Comparing fractional measurements

  1. Below, draw five halves of a gorf and seven thirds of a kip, and write a math sentence comparing the two with <, >, or =.




  2. Below, draw three halves of a blig and nine quarters of a turp, and write a math sentence comparing the two with <, >, or =.




  3. Below, draw seven fifths of a turp and eight thirds of a zib, and write a math sentence comparing the two with <, >, or =.




Mixed number line practice

Some of these problems are asking you to figure out the part, and some the unit. Make sure you are looking for the right thing! Remember:

To find out "What is seven fourths of 28?" I start out by drawing units 28 long broken into fourths; I then have to work out the value of the seventh mark.

To find out what 36 is four fifths of, I start out with a number line in which the units are broken into fifths, but the units aren't yet labeled. I put 36 at the fourth mark, and figure out from that that each space is 9 long. Finally, that allows me to figure out the unit.
  1. Twenty is four fifths of what?




  2. What is five thirds of sixty?








  3. Ten is two thirds of what?








  4. 3/4 × ? = 33








  5. 5/3 × 90 = ?








  6. 7/4 × ? = 56








  7. Challenge: A hardware store puts a grill on sale for 4/5 of the full price when it has not sold by September, and reduces the price to 5/8 of that in December. If the grill is selling for $200 now, what was the original price?
    (Hint: Use one number line to find the September price, and another to find the summer price from that)