4 5/18 as a Decimal

Answer

4 5/18 in decimals can be written as 4.2777. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 4 5/18 in decimal, we will first convert the fraction part (5/18) to decimal form. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (18) will be the divisor.

Step 2: Divide 5 by 18. Since 5 is smaller than 18, we'll add a decimal point and a zero to the dividend, making it 50.

Step 3: Determine how many times 18 fits into 50, which is 2 times. Write 2 in the quotient place.

Step 4: Multiply 18 by 2 to get 36. Subtract 36 from 50, which leaves 14.

Step 5: Bring down another 0 in the dividend place to make it 140. Determine how many times 18 fits into 140, which is 7 times.

Step 6: Multiply 18 by 7 to get 126. Subtract 126 from 140, which gives 14 again.

Step 7: Repeat the process by bringing down another 0, continuing the division. The division process continues indefinitely, indicating a recurring decimal.

The answer for 4 5/18 as a decimal is 4.277.

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Division: A mathematical operation where a number is divided into equal parts.