17/24 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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, 17 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 24. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point 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 17/24 as a decimal?

$17/24 as a decimal$

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.