How do you convert 87.5% as a fraction and a decimal
The Correct Answer and Explanation is:
To convert 87.5% into a fraction and a decimal, follow these steps:
1. Converting 87.5% to a Decimal:
To convert a percentage to a decimal, divide the percentage by 100. In this case:
87.5% ÷ 100 = 0.875
So, 87.5% as a decimal is 0.875.
2. Converting 87.5% to a Fraction:
Now, let’s convert 87.5% to a fraction. Start by writing the percentage as a fraction:
87.5% = 87.5/100
To simplify the fraction, notice that 87.5 is equivalent to 87 and 1/2 or 87.5/1. So, the fraction becomes:
87.5/100 = (87.5/1) ÷ 100 = 875/1000
Next, simplify this fraction. Both 875 and 1000 can be divided by 125:
875 ÷ 125 = 7
1000 ÷ 125 = 8
So, the fraction simplifies to:
7/8
Summary:
- Decimal: 87.5% = 0.875
- Fraction: 87.5% = 7/8
Explanation:
Converting percentages involves understanding their relationship to 100. Since percentages represent “out of 100,” dividing by 100 converts them to decimal form. For fractions, percentages can be written as a fraction over 100, and simplification follows by dividing both the numerator and denominator by their greatest common divisor (GCD). By converting 87.5% into the fraction 7/8, we express it in its simplest form, reflecting that 87.5% is the same as seven parts out of eight
