Francesca has 16/7 ft of string for her kite. Jason has 2 3/4 ft of string for his kite. Katie has more string than either Francesca or Jason. How much string could Katie Have?
Katie must have more than 2 3/4 feet of string.
explain please
To determine how much string Katie could have, we need to compare her string length to both Francesca's and Jason's.
First, let's convert Francesca's string from a mixed number to an improper fraction to make calculations easier. Francesca has 16/7 ft of string. To convert this to an improper fraction, we multiply the whole number (1) by the denominator (7) and add the numerator (16), which gives us 23/7 ft of string.
Jason has 2 3/4 ft of string. To compare this with Francesca's string, we need to convert it to an improper fraction as well. 2 3/4 can be written as (2 * 4 + 3)/4 = 11/4 ft.
Now, let's compare the lengths of string. We see that 23/7 ft is already larger than 11/4 ft. Therefore, Katie's string length must be greater than 23/7 ft.
To find possible lengths for Katie's string, we can consider fractions greater than 23/7. One possible option is 24/7 ft of string. This means Katie could have 24/7 ft of string or any value greater than that.
So, Katie could have 24/7 ft or more of string.