Answer:
Showing your work for dividing 270 by 360 involves a few steps. Let's break it down...
Step 1: Set Up the Division
First, you write down the division in a way that's easy to understand. Since you're dividing 270 by 360, you can set it up like a fraction or use the division symbol. I'll show it as a fraction for clarity:
[tex]\frac{270}{360}[/tex]
Step 2: Simplify the Fraction (If Possible)
Before doing any actual division, see if you can simplify the fraction. Both numbers can be divided by their greatest common divisor (GCD). The GCD of 270 and 360 is 90. So, let's divide both numerator and denominator by 90:
[tex]\frac{270 \div 90}{360 \div 90} = \frac{3}{4}[/tex]
Step 3: Divide (If Needed)
In this simplified form, the fraction [tex](\frac{3}{4})[/tex] is your answer. However, if you're asked to present this as a decimal or a percentage, you can continue dividing:
[tex]3 \div 4 = 0.75[/tex]
To Show as a Percentage
Since percentages are another common way to show division results, you can convert 0.75 into a percentage by multiplying by 100:
[tex]0.75 \times 100 = 75%[/tex]
Putting It All Together
When showing your work, you would write it out like this:
1. Simplify the division problem: [tex](\frac{270}{360})[/tex]
2. Find the greatest common divisor (GCD) of 270 and 360, which is 90.
3. Divide both the numerator and the denominator by the GCD to simplify the fraction: [tex](\frac{270 \div 90}{360 \div 90} = \frac{3}{4})[/tex]
(Optional) Convert the fraction to a decimal by dividing 3 by 4, which equals 0.75.
(Optional) Convert the decimal to a percentage by multiplying by 100, which equals 75%.
Hope this hepls!