7/24 as a Decimal

Answer

7/24 in decimals can be written as approximately 0.29166. It is a terminating decimal, showing it ends after a certain number of digits.

Explanation

To get 7/24 in decimal, we will use the division method. Since 7 is smaller than 24, we will use the decimal method to perform the calculation. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (24) will be taken as the divisor.

Step 2: As 7 is smaller than 24, it can't be divided. We will take the help of decimals. We will add 0 to the dividend, making 7 as 70 and adding a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 24. Let's see how many times 24 fits into 70.

Step 4: 24 goes into 70 two times (24 × 2 = 48). We will write 2 in the quotient place and subtract 48 from 70, which gives 22.

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

Step 6: 24 goes into 220 nine times (24 × 9 = 216). We write 9 in the quotient place and subtract 216 from 220, which gives 4.

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

Step 8: 24 goes into 40 one time (24 × 1 = 24). We write 1 in the quotient place and subtract 24 from 40, which gives 16.

Step 9: Bring down another 0, making it 160, and repeat the division process.

Step 10: 24 goes into 160 six times (24 × 6 = 144). We write 6 in the quotient place and subtract 144 from 160, which gives 16.

Step 11: Repeat the process.

The answer for 7/24 as a decimal is approximately 0.29166.

• 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 after a certain number of digits and does not repeat infinitely.