If #1 3/4# equals #4/4 + 3/4# Then, #1 3/4 =?/4#

1 Answer
Jan 24, 2018

#7/4#

Explanation:

First, #1 3/4# does indeed equal #4/4 + 3/4# Since #4/4 = 1#

Now we can rewrite this as: #(4+3)/4 = 7/4# Which answers your assumed question.

NB: A quicker way to convert a mixed nubmer to an improper fraction is as follows:

(i) Multiply the denominator of the fractional part by the integer part. In this case: #4xx1 =4#

(ii) Add the numerator of the fractional part. In this case: #4+3=7#

(iii) The improper faction is then:
Result (ii) / Denominator of the fractional part.
In this case #7/4#

Actually this method is the same as the first one, but can usually be done mentally for simple examples such as #1 3/4#