How do you evaluate #1\frac { 1} { 2} \times 7#?

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Answer 1 · 2017-11-03T12:43:56

See a couple of solution processes below:

Process 1:

First, convert #1 1/2# to an improper fraction:

#1 1/2 = 1 + 1/2 = (2/2 xx 1) + 1/2 = 2/2 + 1/2 = (2 + 1)/2 = 3/2#

We can now rewrite the expression and evaluate it as:

#3/2 xx 7 = (3 xx 7)/2 = 21/2#

We can now convert this solution to a mixed number:

#21/2 = (20 + 1)/2 = 20/2 + 1/2 = 10 + 1/2 = 10 1/2#

Process 2:

We can rewrite and evaluate the expression as:

#1 1/2 xx 7 = (1 + 1/2) xx 7 = (1 xx 7) + (1/2 xx 7) = 7 + 7/2#

We can then convert the mixed number to a mixed number and add the results:

#7 + 7/2 = 7 + (6 + 1)/2 = 7 + 6/2 + 1/2 = 7 + 3 + 1/2 = 10 1/2#