kate is using fraction strips to add 4/10 and 4/5 she uses one whole strip to represent the sum. how many fifths strips does she need to complete the sum?
To solve this problem, we'll need to find a common denominator for the fractions 4/10 and 4/5. The smallest number that both 10 and 5 can divide into evenly is 10.
To represent 4/10 using fraction strips, Kate will need to divide the whole strip into 10 equal parts and shade 4 of those parts.
To represent 4/5 using fraction strips, Kate will need to divide each whole strip into 5 equal parts and shade 4 of those parts.
Since we want to find the sum of 4/10 and 4/5 using one whole strip, we need to find out how many fifths strips we can fit in that one whole strip.
To do that, let's start by dividing the whole strip into 5 equal parts. Since each fifth strip is divided into 5 equal parts, we can think of dividing the whole strip into 25 equal parts.
Next, we'll divide the whole strip into 10 equal parts (to represent 10ths). Since each fifth strip has 5 equal parts, we can think of dividing the whole strip into 50 equal parts.
Now, let's see how many fifths strips can fit into the whole strip. Since each fifth strip has 50 parts, and the whole strip has 50 parts, we can fit exactly one fifth strip into the whole strip.
Therefore, Kate needs one fifth strip to complete the sum when adding 4/10 and 4/5 using one whole strip.