what is 14/25 as a decimal and as a percent
The Correct Answer and Explanation is:
To convert the fraction 1425\frac{14}{25}2514 into a decimal and a percent, we can break the process down into two steps:
Step 1: Converting to Decimal
To convert 1425\frac{14}{25}2514 into a decimal, divide the numerator (14) by the denominator (25). This means: 1425=14÷25\frac{14}{25} = 14 \div 252514=14÷25
Performing the division: 14÷25=0.5614 \div 25 = 0.5614÷25=0.56
So, 1425=0.56\frac{14}{25} = 0.562514=0.56 as a decimal.
Step 2: Converting to Percent
To convert a decimal to a percent, we multiply the decimal by 100. This means: 0.56×100=56%0.56 \times 100 = 56\%0.56×100=56%
So, 0.560.560.56 as a percentage is 56%56\%56%.
Explanation:
The fraction 1425\frac{14}{25}2514 represents a part of a whole, where 14 is the numerator and 25 is the denominator. When dividing 14 by 25, we obtain 0.56 as the decimal, which shows how much of 1 is represented by 1425\frac{14}{25}2514. To express this in percentage terms, multiplying by 100 converts the decimal into a percentage form, indicating that 1425\frac{14}{25}2514 is 56% of the whole.
This method works for any fraction: just divide the numerator by the denominator to get the decimal, then multiply the result by 100 to get the percentage.
