Final answer:
The fraction 35 over 2 is equal to the mixed number 17 1/2 or the decimal 17.5. When rounding to the nearest tenth, 35.5 stays the same, whereas 59.35 rounds up to 59.4.
Step-by-step explanation:
The fraction 35 over 2 is a mathematical expression that can be converted into a mixed number or a decimal. To convert it into a mixed number, we divide the numerator by the denominator. The integer part of the quotient becomes the whole number part, and the remainder over the denominator becomes the fractional part.
Here, 35 divided by 2 gives us 17 with a remainder of 1, so the mixed number is 17 1⁄2. To express it as a decimal, we perform the division and find out that 35 divided by 2 equals 17.5.
In the context of rounding, if we want to round 35.5 to the nearest tenth, we would keep the number the same since the digit in the hundredths place is less than 5, resulting in 35.5 as the final answer rounded to the tenths place.
However, if we're dealing with the value 59.35, the hundredths place value (5) would cause an increase in the tenths value resulting in 59.4 when rounded to the nearest tenth.