Step by step
The question
Question: a circle graph of 360 voters has a 135° slice for yes: how many yes?
yes: 135°, 360 voters in all
Here is the slice.
135° of the 360° circle.
1 Angle over 360
The slice is 135 out of 360 degrees.
135 and 360 can both be divided by 45: 3/8.
= 135360 = 135 ÷ 45360 ÷ 45 = 38
Careful!
Degrees are out of 360, not out of 100.
Careful: not 135% ✗
2 Of the total
3/8 of all 360 voters.
360 divided by 8 is 45.
Times 3: 135 voters.
= 38 × 360 = 135
3 Check
Let's check: 135 out of 360 is 3/8.
3/8 of 360 is 135°, the slice.
So the answer is right!
135 out of 360 = 38 of 360 = 135°
Let's look back.
First: angle over 360.
Then: of the total.
Last: check.
Answer
= 38 × 360 = 135