Express the following in fractions as a percentage: 4/5 ( solve the whole process)…
The Correct Answer and Explanation is:
To express the fraction 45\frac{4}{5}54 as a percentage, you can follow these steps:
Step 1: Convert the Fraction to Decimal
To start, divide the numerator by the denominator. That is, divide 4 by 5:45=0.8\frac{4}{5} = 0.854=0.8
Step 2: Convert Decimal to Percentage
Now that we have the decimal 0.80.80.8, we multiply it by 100 to convert it into a percentage:0.8×100=800.8 \times 100 = 800.8×100=80
Step 3: Interpret the Result
So, the fraction 45\frac{4}{5}54 as a percentage is 80%.
Explanation:
Percent means “per hundred,” so when you express a number as a percentage, you’re simply saying how much out of 100 the number represents. Converting a fraction like 45\frac{4}{5}54 into a percentage involves two basic steps:
- Dividing the numerator by the denominator: This gives you a decimal.
- Multiplying by 100: Since percentages are based on 100, multiplying by 100 gives you the percentage equivalent of the decimal.
The fraction 45\frac{4}{5}54 can be thought of as “4 parts out of 5,” and when you multiply the decimal form (0.8) by 100, you’re saying that 80 out of every 100 parts of the whole are represented by this fraction.
By following these steps, you can convert any fraction into a percentage. For example, if you had 34\frac{3}{4}43, you would first convert it to a decimal (34=0.75\frac{3}{4} = 0.7543=0.75) and then multiply by 100 to get 75%.
In conclusion, the percentage equivalent of 45\frac{4}{5}54 is 80%.
