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A girl lives #5 1/4# miles from school. She walks #2/7# of the distance and travels the rest by bus How far does she travel by bus?

Answer 1

Emery Allen

#3 3/4# miles by bus

The total distance that she travels would be #7/7# She travels #2/7# by foot.

Subtracting #7/7-2/7 = 5/7# (this is the fraction of the distance traveled by bus.)

To find the distance traveled by bus multiply the total distance by the fraction traveled by bus

# 5 1/4 xx 5/7# = distance traveled by bus.

# 5 1/4 = 21/4# ( each whole number = 4 quarters)

# 21/4 xx 5/7 = 5/4 xx cancel21^3/cancel7 = ( 5 xx 3)/4 = 15/4#

# 15/4 = 3 3/4 #

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Answer 2

Noah Archer

3.75 or# 3 3/4 #miles by bus

Let #7/7 # be total distance = 5.25 miles

#7/7=5.25#

#2/7= (2/7)/(7/7) xx 5.25#

#=2/7 xx 5.25#

#=10.5/7#

#=1.5# miles walking

#5.25-1.5=3.75#miles riding by bus

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.