Question

16.66% in fraction? step by step explain​

Answer 1

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:16.66% = 16.66/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:As we have 2 digits after the decimal point, we multiply both numerator and denominator by 100, or, simply shift 2 decimal places to the right. So,

16.66/100 = (16.66 x 100)/(100 x 100) =1666/10000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(1666,10000) = 2. So,

(1666÷2)/(10000÷2) = 833/5000 when reduced to the simplest form.

Hope this will help you...

Have a great day ahead buddy...

Answer 2

• As per data we have to convert decimal number into fraction.

before solving this type of question, we should know about the percentage.

percentage means a number or ratio expressed as a fraction of 100.

• It is also denoted by$%$$%$%.
• $16.66$ percent means  $\frac{16.66}{100}$

• As we see in numerator we have two digits after the decimal point. we multiply both the numerator and denominator by $100.$

     we get it,

     $=\frac{16.66\times 100}{100\times 100}$

     $=\frac{1666}{10000}$

• Then we have to reduce the fraction by dividing both numerator and denominator. we have a common divisor $2.$
• we get it,

     $=\frac{833}{5000}$