Question

Fred says that 1/2 and 7/8 are equivalent fractions. Draw area models for 1/2 and 7/8 to show if Fred's statement is correct. Name two fractions that you know are equivalent to 1/2.

Answer 1

Answer:

For your area models you would draw two rectangles and divide one into 2 equal sections, and the other one with 8 equal sections. You then shade 1 box out of the first triangle with 2 equal sides. Then you would shade 7 boxes on the rectangle with 8 equal sides. These diagrams would show you that 7/8 and 1/2 are not equivalent.

To find out what fractions are equivalent to 1/2 you would take 1/2 and times the numerator and denominator by the same number.

1/2*2/2= 2/4

2/4=1/2

1/2*9/9= 9/18

9/18=1/2

2/4 and 9/18 both equal 1/2

Hope this helps ;)