Write 750% as a decimal and as a fraction in simplest form
The Correct Answer and Explanation is:
Answer:
- As a decimal:
750% = 7.5 - As a fraction in simplest form:
750% = 15/2
Explanation
To convert a percentage like 750% to a decimal and a fraction, we need to understand what a percent means.
The word percent means “per hundred.” So when we say 750%, it literally means 750 per 100, or:750%=750100750\% = \frac{750}{100}750%=100750
Step 1: Converting 750% to a Decimal
To convert a percentage to a decimal, divide the percent value by 100:750÷100=7.5750 \div 100 = 7.5750÷100=7.5
So, 750% = 7.5 in decimal form.
Step 2: Converting 750% to a Fraction
We start with the same idea:750%=750100750\% = \frac{750}{100}750%=100750
Now simplify this fraction. First, divide both the numerator and denominator by 50 (the greatest common divisor of 750 and 100):750÷50100÷50=152\frac{750 \div 50}{100 \div 50} = \frac{15}{2}100÷50750÷50=215
So, 750% = 15/2 in simplest form.
Why This Works
Percentages are often used in real-life situations like sales, interest rates, and data comparisons. Converting them into decimals or fractions allows us to calculate and compare values more accurately in mathematics and science.
- Decimal form (7.5) is useful in calculators and spreadsheets.
- Fraction form (15/2) is helpful for precise arithmetic, especially in algebra and measurements.
Even though 750% is a large percentage, this just means the value is 7.5 times the original amount. For example, if a price increases by 750%, it becomes 7.5 times higher than it was before.
Understanding how
to move between percent, decimal, and fraction forms is a key math skill that helps in both academic and everyday problem-solving.
