Question

Jeff uses 3 fifth- size strips to model 3/5. he wants to use tenth size strips to models an equivalent fraction. how many tenth size strips will he need ?

Answer 1

Jeff will need a total of 6 tenth-sized strips to represent an equivalent fraction of 3/5 as it is shown that each fifth is equal to 2 tenths.

Step-by-step explanation:

Jeff is working with fractions to represent the same value using different-sized parts. If he has used 3 fifth-sized strips to represent 3/5, to find an equivalent fraction using tenth-sized strips, we can set up a simple proportion. Since there are 10-tenths in a whole, and Jeff is working with 5ths, we know that each fifth is equivalent to 2-tenths (because 10 divided by 5 equals 2).

Now, Jeff has 3 of these fifths, so for each fifth, he will need 2 tenth-sized strips. Therefore, to represent the same fraction of 3/5, he will need 3 times 2 tenth-sized strips, which is a total of 6 tenth-sized strips. This shows the equivalent fraction of 3/5 when using tenth-sized strips is 6/10, which simplifies back to 3/5 confirming the equivalence.

Answer 2

To put the unknown in other words, we are to determine a fraction that has a denominator of 10 which should be equivalent to 3/5. If we let x be the numerator of the second fraction such that we form a proportion out of the two fractions that is,
3/5 = x/10
The value of x is calculated as below,
x = (3)(10) / 5 = 6
ANSWER: 6