How do you write 2.15 1/2 in expanded form. Our topic is transforming fractions in decimal form... but what is the fraction 1/2 doing there?
well, 15 1/2 = 15.5
So I'd guess 2.155
but that's certainly an unusual way to express a value.
In fact, I'd guess it's a typo. I've never seen a mixture of decimal and fraction like that.
It is a typo
To write 2.15 1/2 in expanded form, we first need to understand what the fraction 1/2 is doing there. In this case, the fraction 1/2 is representing the decimal 0.5. So, 2.15 1/2 can be written as 2.15 + 0.5.
To write it in its expanded form, we'll convert the decimal part of 2.15 to fractional form. Here's how you can do it:
1. First, determine the place value of each digit after the decimal point. In 2.15, the digit 1 is in the tenths place, and the digit 5 is in the hundredths place.
2. Convert each digit to its fractional equivalent. Since 1 is in the tenths place, it can be written as 1/10. Similarly, since 5 is in the hundredths place, it can be written as 5/100.
3. Add these fractional equivalents to the whole number part. 2.15 = 2 + 1/10 + 5/100.
4. Simplify the fraction if possible. In this case, it can be simplified as follows: 1/10 = 10/100, so 2 + 1/10 + 5/100 becomes 2 + 10/100 + 5/100.
5. Combine the fractions by finding a common denominator. In this case, both fractions have the same denominator (100), so you can add them directly: 2 + 10/100 + 5/100 = 2 + (10 + 5)/100.
6. Simplify further if required. In this case, 10 + 5 = 15, so the final expanded form is: 2 + 15/100.
Therefore, the expanded form of 2.15 1/2 is 2 + 15/100.