Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much farther does Pam walk than Paul?

1 Answer
Jan 6, 2017

Answer:

Pam walks 3/8 of a mile further than Paul.

Explanation:

We can write a formula for this as:

#d = M - L#

Where:

#d# is the difference in the walks
#M# is the distance Pam walks
#L# is the distance Paul walks.

Substituting the information from the problem gives:

#d = 7/8 - 1/2#

In order to subtract or add fractions they need to be over a common denominator. For this problem the common denominator can be #8#. Therefore we need to ultiply #1/2# by the appropriate form of #1# to get this common denominator:

#d = 7/8 - (4/4 xx 1/2)#

#d = 7/8 - (4 xx 1)/(4 xx 2)#

#d = 7/8 - 4/8#

We can now subtract these fractions:

#d = (7 - 4)/8#

#d = 3/8#