Question

String A is 3 5/6 meters long. String B is 2 1/4 meters long. What’s the total length of both strings?

Answer 1

3 5/6 + 2 1/4 = 56/24

Simplified, I think the answer is 2 1/3

Answer 2

The total length of the two strings is
`(73)/(12)` meters

Step-by-step explanation:

Before beginning, remember the following:

`a(b)/(c)=(ac+b)/(c)`

Now, for the given problem:

We are given that:

Length of string A =
`3(5)/(6)=(23)/(6)` meters

Length of string B =
`2(1)/(4)=(9)/(4)` meters

To get their sum, we follow these steps:

a. Make the denominator for the two fractions the same

b. Add the numerators

c. Simplify

This is done as follows:

For the given fractions, the common denominator will be 4×6 = 24

Therefore:

String A =
`(92)/(24)` m and String B =
`(54)/(24)` m

Now, we add:

`(92)/(24)+(54)/(24)=(92+54)/(24)=(146)/(24)`

Finally, we simplify:

`(146)/(24)=(73)/(12)` obtained by dividing both numerator and denominator by 2

Hope this helps :)