The decimal number of the fraction is 0.25 and the percentage is 25%.
What is decimal number?
A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. It is a number that uses place value and a decimal point to show values less than one, such as tenths and hundredths.
What is a percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
For the given situation,
The fraction is \(\frac{4}{16}\).
a) The decimal number can be found as,
Step 1: Simplify the fraction
⇒ \(\frac{4}{16} = \frac{1}{4}\)
Step 2: Make the denominator as a multiple of 10
Multiply both numerator and denominator by 25, to make the denominator as a multiple of 10.
⇒ \(\frac{1(25)}{4(25)} = \frac{25}{100}\)
Step 3: Now convert the fraction to decimal
⇒ \(\frac{25}{100} = 0.25\)
b) The percentage of the decimal can be found as,
Multiply the decimal by 100 to get percentage
⇒ \(0.25(100)=25 \%\)
Hence we can conclude that the decimal number of the fraction is 0.25 and the percentage is 25%.
Learn more about percentages here
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