Question

Hallie bikes 1 5/8 km before lunch and 6 1/4 km after lunch. How much farther does Hallie bike after lunch than before lunch? Express your answer as a mixed number in simplest form.

Answer 1

Answer:

4 $\frac{5}{8}$ km

Step-by-step explanation:

To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:

6 $\frac{1}{4}-1\frac{5}{8}$

However, we can only subtract fractions that have the same denominator, so we need to convert $\frac{1}{4}$ to a fraction with a denominator of 8:

$\frac{1}{4}=\frac{2}{8}$

Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:

$6\frac{2}{8}=5\frac{10}{8}$

Now subtract: $5\frac{10}{8}-1\frac{5}{8}=4\frac{5}{8}$