The unit rate from the complex fraction is 2 miles per hour
Step-by-step explanation:
Charlotte walked [tex]\frac{1}{2}[/tex] of a mile in [tex]\frac{1}{4}[/tex] of an hour
The definition of the unit rate is:
∵ Charlotte walked [tex]\frac{1}{2}[/tex] mile
∵ Charlotte did that in [tex]\frac{1}{4}[/tex] hour
- To find the rate divide the distance by the time
∴ The unit rate = [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{4}[/tex]
- Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∴ The rate = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{1}[/tex]
∴ The rate = [tex]\frac{4}{2}[/tex]
- Divide up and down by 2 to make the denominator equal 1 (unit rate)
∴ The unit rate = [tex]\frac{2}{1}[/tex]
∴ The unit rate = 2 miles per hour
The unit rate from the complex fraction is 2 miles per hour
Learn more:
You can learn more about the fractions in brainly.com/question/1312102
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