Question

roy is going to increase the size of his patio to make room for a new BBQ grill. The ratio oof the area of the old patio to the area of the new patio is 2 1/4: 6 3/4. Convert this ratio to a unit rate and explain.

Answer 1

Explanation:

User Zero is close but not quite right. 6 3/4 = 24/4 +3/4 = 27/4 not 27/6

And 2 1/4 = 8/4 + 1/4 = 9/4

Therefore 9/4 : 27/4 = 9: 27 = 1 : 3

1 : 3

Answer 2

the issue here is to express fractions more easily:
2 1/4: 6 3/4
lets simplify fractions:
2 1/4 = 8/4 + 1/4 = 9/4
6 3/4 = 24/6 + 3/4 = 27/6
So the ratio can also be expressed as:
9/4 : 27/6
lets find a common denominator:
54/24 : 108/24
are also equivalent, so we can reduce:
54 : 108
and finally
1 : 2