Answer:
c. 1 13/15
Step-by-step explanation:
The best way to find out how much more Tristan rode his bike would be to subtract both of his distances together.
Saturday = [tex]3\dfrac{2}{3}[/tex]
Sunday = [tex]1\dfrac{4}{5}[/tex]
Now we actually have two different fractions with different denominators.
We can solve this first by converting the mixed numbers into improper fractions.
[tex]3\dfrac{2}{3}=\dfrac{9+2}{3}[/tex]
[tex]3\dfrac{2}{3}=\dfrac{11}{3}[/tex]
Now how did I do that?
First we take the denominator and multiply it to our whole number, then add the product to the numerator.
Let's proceed to the next mixed fraction.
[tex]1\dfrac{4}{5}=\dfrac{5+4}{5}[/tex]
[tex]1\dfrac{4}{5}=\dfrac{9}{5}[/tex]
We are then left with:
[tex]\dfrac{11}{3}-\dfrac{9}{5}[/tex]
Since we cannot subtract them directly because they have different denominators, we need to find the LCD of both denominators.
[tex](\dfrac{5}{5}) \dfrac{11}{3}-\dfrac{9}{5}(\dfrac{3}{3})[/tex]
[tex]\dfrac{55}{15}-\dfrac{27}{15}[/tex]
Now that they have similar denominators, we can then proceed to subtract them to each other.
[tex]\dfrac{55}{15}-\dfrac{27}{15}=\dfrac{28}{15}or1\dfrac{13}{15}[/tex]
