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.

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MsRay

Answer:

4 [tex]\frac{5}{8}[/tex] 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 [tex]\frac{1}{4}-1\frac{5}{8}[/tex]

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

[tex]\frac{1}{4}=\frac{2}{8}[/tex]

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

[tex]6\frac{2}{8}=5\frac{10}{8}[/tex]

Now subtract: [tex]5\frac{10}{8}-1\frac{5}{8}=4\frac{5}{8}[/tex]