19/24 as a Decimal

Answer

19/24 in decimals can be written as 0.79166… It is a non-terminating decimal, meaning it does not end but repeats infinitely.

Explanation

To convert 19/24 to a decimal, we will use the division method. Since 19 is smaller than 24, we will use the decimal method to find the equivalent decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (19) will be taken as the dividend and the denominator (24) will be the divisor.

Step 2: As 19 is smaller than 24, we can't perform the division directly, so we will add a decimal point in the quotient and a zero in the dividend, making it 190.

Step 3: Now, divide 190 by 24.

Step 4: 24 goes into 190 seven times because 24 × 7 = 168. Write 7 in the quotient and subtract 168 from 190, which gives 22.

Step 5: Bring down another 0 in the dividend place, making it 220, and repeat the division process.

Step 6: 24 goes into 220 nine times because 24 × 9 = 216. Write 9 in the quotient and subtract 216 from 220, which gives 4.

Step 7: Bring down another 0, making 40, and repeat the division.

Step 8: 24 goes into 40 one time because 24 × 1 = 24. Write 1 in the quotient and subtract 24 from 40, which gives 16.

Step 9: Bring down another 0, making it 160, and repeat the division. This process continues, and we observe a repeating pattern.

Thus, 19/24 as a decimal is 0.79166…

• 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.

• Non-terminating Decimal: A decimal that continues infinitely without ending.