4 3/4 as a Decimal

Answer

4 3/4 in decimals can be written as 4.75. It is a terminating decimal because it has a finite number of digits.

Explanation

To convert 4 3/4 to a decimal, we first convert the mixed number into an improper fraction and then perform division.

Step 1: Convert the mixed number to an improper fraction. Multiply the whole number (4) by the denominator (4) and add the numerator (3). This gives us 4 × 4 + 3 = 19. So, 4 3/4 becomes 19/4.

Step 2: Divide the numerator (19) by the denominator (4).

Step 3: 4 goes into 19 four times, giving us 16. Subtract 16 from 19 to get a remainder of 3.

Step 4: Bring down a zero to get 30. 4 goes into 30 seven times, which gives us 28. Subtract 28 from 30 to get a remainder of 2.

Step 5: Bring down another zero to get 20. 4 goes into 20 five times exactly, with no remainder.

The division process ends here, and the answer for 4 3/4 as a decimal is 4.75.

• 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.
   
• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.