4 18/25 as a Decimal

Answer

4 18/25 in decimals can be written as 4.72. It is a terminating decimal, meaning it does not repeat.

Explanation

To get 4 18/25 in decimal, we will use division for the fractional part. The whole number part is 4, which remains the same in the decimal form. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 4 and the fraction is 18/25.

Step 2: Convert the fraction 18/25 to a decimal. The numerator (18) will be taken as the dividend and the denominator (25) as the divisor.

Step 3: Divide 18 by 25. Since 18 is smaller than 25, we will use the decimal method, making it 180 by adding a decimal point and a zero.

Step 4: Divide 180 by 25. 25 goes into 180 seven times (25 × 7 = 175). Write 7 in the quotient place and subtract 175 from 180, which gives 5.

Step 5: Bring down another 0 to make it 50. 25 goes into 50 two times (25 × 2 = 50). Write 2 in the quotient place, and subtracting 50 from 50 gives 0.

Thus, 18/25 as a decimal is 0.72. Combining with the whole number, 4 18/25 as a decimal is 4.72.

• 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.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.