17/24 as a Decimal

Answer

17/24 in decimals can be written as approximately 0.7083. It is a terminating decimal.

Explanation

To get 17/24 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (24) will be taken as the divisor.

Step 2: 17 is smaller than 24, so it can't be divided directly, and we will add a decimal point in the quotient place.

Step 3: Add 0 to the dividend, making it 170, and divide by 24.

Step 4: Determine how many times 24 fits into 170. 24 × 7 = 168, which is the closest multiple of 24 less than 170. Write 7 in the quotient place.

Step 5: Subtract 168 from 170 to get 2 as the remainder. Bring down another 0 to make it 20.

Step 6: 24 does not fit into 20, so write 0 in the quotient, bring down another 0 to make it 200.

Step 7: 24 × 8 = 192, which fits into 200. Write 8 in the quotient place.

Step 8: Subtract 192 from 200 to get 8 as the remainder. Bring down another 0 to make it 80.

Step 9: 24 × 3 = 72, which fits into 80. Write 3 in the quotient place.

Step 10: Subtract 72 from 80 to get 8 as the remainder. Since further division will continue in a similar repeating pattern, the answer for 17/24 as a decimal will be approximately 0.7083.

• 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.