Write the decimals.
a. [tex]$\frac{16}{100}$[/tex]
b. [tex]$\frac{7}{100}$[/tex]
c. [tex]$1 \frac{25}{100}$[/tex]
Answer (1)
Convert 100 16 to decimal: 16 ÷ 100 = 0.16 .
Convert 100 7 to decimal: 7 ÷ 100 = 0.07 .
Convert 1 100 25 to decimal: 1 + ( 25 ÷ 100 ) = 1 + 0.25 = 1.25 .
The decimals are 0.16 , 0.07 , 1.25 .
Explanation
Problem Analysis We need to convert the given fractions and mixed number into decimal form. Let's tackle each one individually.
Converting 16/100 to Decimal a) To convert 100 16 to a decimal, we divide 16 by 100. The result is 0.16.
Converting 7/100 to Decimal b) To convert 100 7 to a decimal, we divide 7 by 100. The result is 0.07.
Converting 1 25/100 to Decimal c) To convert the mixed number 1 100 25 to a decimal, we recognize that it is equal to 1 + 100 25 . First, we convert 100 25 to a decimal by dividing 25 by 100, which gives us 0.25. Then, we add this to 1, resulting in 1 + 0.25 = 1.25.
Final Answer Therefore, the decimals are: a) 0.16 b) 0.07 c) 1.25
Examples
Understanding how to convert fractions to decimals is useful in everyday situations, such as calculating discounts while shopping. For example, if an item is 25% off, you can convert 100 25 to 0.25 and easily calculate the discount amount by multiplying the original price by 0.25. Similarly, when dealing with measurements or cooking, converting fractions to decimals helps in precise calculations and measurements, ensuring accuracy in your recipes or projects.
