Question

Solve the question below

Answer 1

in all they spent 3 3/4 hours fishing and swimming in all

Explanation:

if you know that they spent 1 1/4 hours fishing and that they spent twice that swimmin,

you can calculate the time spent swimming by doubling it:

1 1/4 hours is the same as 5/4 hours

doubled it is 10/4 hours that they spent swimming

all together, 10/4+5/4 is 15/4 hours which can be reduced to 3 3/4 hours

Answer 2

`3(3)/(4) \ hours`

Explanation:

First, let's find how much time they went swimming. We are given they spent twice as much time swimming as fishing.

`1 (1)/(4)*2=(5)/(4)*2=(5)/(2)=2 (1)/(2)`

Now, we need to add these two fractions together.

`1(1)/(4)+2(1)/(2)`

To do this, we have to convert to a common denominator. To do this, we can find the Least Common Multiple of the denominators. List all of the multiples of 2 and 4:

2: 2, 4

4: 4

They share a common multiple of 4, so convert 2 1/2 to have a denominator of 4.

`2(1)/(2)=(5)/(2)*(2)/(2)=(10)/(4)=2(2)/(4)`

Notice we can only multiply the fraction by 2/2 because any number over itself is equivalent to 1.

`1(1)/(4)+2(2)/(4)=3(3)/(4)`