How do I write 7 23/40 as a decimal
The correct answer and explanation is:
To convert the mixed number 7 23/40 into a decimal, follow these steps:
Step 1: Convert the Fraction to a Decimal
First, focus on the fractional part, which is 23/40. To convert 23/40 to a decimal, divide the numerator (23) by the denominator (40). This division gives: 23÷40=0.57523 \div 40 = 0.575
Step 2: Add the Whole Number
The whole number in the mixed fraction is 7. Now, add the decimal form of the fraction (0.575) to this whole number: 7+0.575=7.5757 + 0.575 = 7.575
Final Answer:
So, 7 23/40 written as a decimal is 7.575.
Explanation:
Converting a mixed number to a decimal involves two main steps: converting the fractional part to a decimal and then adding it to the whole number part. To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number). The result is a decimal value that can then be added to the whole number. This method is applicable to any mixed number and can help you express fractions in a more convenient format, especially when performing calculations that require decimal values.