Question #2f289

2 Answers
Apr 26, 2017

#15/7#

Explanation:

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its intrinsic value.

Did you know you can and may write whole numbers like a fraction. For example the number of 2 may be written as #2/1#. Not normally done but it is correct.

Write #2 1/7" as: "2+1/7#

Now write as: #" "color(green)([2color(red)(xx1)]+1/7)#

#" "color(green)([2/1color(red)(xx7/7)]+1/7)#

#" "color(green)([ (2color(red)(xx7))/(1color(red)(xx7))] + 1/7#

#" "color(green)([14/7]+1/7)" "=" "(14+1)/7" "=" "15/7#

Apr 27, 2017

#15/7#

Explanation:

To find the improper fraction / convert a mixed number into an improper fraction we must perform two operations...

Firstly, we find the product of the whole number and the denominator. For example:

= #2*7#
= #14#

Then, we add the result of this operation onto the numerator.
For example.

= #(14+1)/7#
= #15/7#

All the best!