Answer:
[tex]3\frac{3}{4} \ hours[/tex]
Step-by-step explanation:
First, let's find how much time they went swimming. We are given they spent twice as much time swimming as fishing.
[tex]1 \frac{1}{4}*2=\frac{5}{4}*2=\frac{5}{2}=2 \frac{1}{2}[/tex]
Now, we need to add these two fractions together.
[tex]1\frac{1}{4}+2\frac{1}{2}[/tex]
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.
[tex]2\frac{1}{2}=\frac{5}{2}*\frac{2}{2}=\frac{10}{4}=2\frac{2}{4}[/tex]
Notice we can only multiply the fraction by 2/2 because any number over itself is equivalent to 1.
[tex]1\frac{1}{4}+2\frac{2}{4}=3\frac{3}{4}[/tex]
