Answer as an improper fraction: 9/8 a mile
Answer as a mixed number: 1 & 1/8 of a mile
Answer in decimal form: 1.125 miles
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Work Shown:
f = friend's distance = 3/4 of a mile
n = Nicole's distance = unknown
f = (2/3)*n
3f = 2n
2n = 3f
n = (3/2)*f
n = (3/2)*(3/4)
n = (3*3)/(2*4)
n = 9/8
Nicole ran 9/8 a mile
This converts to 1 & 1/8 of a mile, which means Nicole runs a full mile plus an additional 1/8 of a mile.
When using a calculator or long division, 9/8 = 1.125