4 3/4 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 4 and 3, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent numbers that are not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 4 3/4 as a decimal?

$4 3/4 as a decimal$ 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.

Important Glossaries for 4 3/4 as a decimal

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.