convert 17/5 in the decimal form ? please give step by step explaination
The correct answer and explanation is:
Sure! Let’s convert the fraction 17/5 into decimal form step by step.
Step 1: Understand the fraction
The fraction 17/5 means 17 divided by 5.
Step 2: Perform the division
We need to divide 17 by 5.
- 5 goes into 17 how many times?
5 × 3 = 15, which is less than 17.
So, the whole number part of the quotient is 3. - Now, subtract 15 from 17 to find the remainder:
17 – 15 = 2
Step 3: Handle the remainder (convert fraction part to decimal)
Since there is a remainder, we continue dividing to get the decimal:
- Add a decimal point after 3, making it 3.
- Add a zero to the remainder (2 becomes 20).
- Now divide 20 by 5:
5 × 4 = 20, so the next digit after the decimal point is 4. - Subtract 20 – 20 = 0 remainder.
Since the remainder is now 0, division ends here.
Step 4: Write the final answer
So, 175=3.4\frac{17}{5} = 3.4
Explanation:
When you convert a fraction to a decimal, you’re essentially performing division — dividing the numerator by the denominator.
- The numerator (17) is the number you want to divide.
- The denominator (5) is the number you divide by.
Since 5 fits into 17 three whole times, that gives you the whole number 3. Then the remainder (2) is what’s left over. To convert the remainder to a decimal, you treat it as 2.0 and continue dividing after the decimal point by adding zeros.
By dividing 20 by 5, you get 4, which is the decimal part.
The decimal number 3.4 represents the same value as the fraction 17/5, just in decimal form.
Summary:
- 17 ÷ 5 = 3 remainder 2
- Convert remainder 2 into decimal by dividing 20 ÷ 5 = 4
- Final decimal = 3.4