Question

Bernadette bought two piece of ribbon .one piece is 6 1/4 feet long ,and the other is 11 1/2 feet find the total length of the ribbon.

Answer 1

let's firstly convert the mixed fractions to improper, and then add them up.

`\bf \stackrel{mixed}{6(1)/(4)}\implies \cfrac{6\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{25}{4}}~\hfill \stackrel{mixed}{11(1)/(2)}\implies \cfrac{11\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{23}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{25}{4}+\cfrac{23}{2}\implies \stackrel{\textit{our LCD will be 4}}{\cfrac{(1)25+(2)23}{4}}\implies \cfrac{25+46}{4}\implies \cfrac{51}{4}\implies 12(3)/(4)`

Answer 2

`(71)/(4)` or
`17(3)/(4)`

Explanation:

Bernadette bought two piece of ribbon .one piece is 6 1/4 feet long ,and the other is 11 1/2 feet

To find total length we add the length of two pieces

`6 (1)/(4)=(25)/(4)`

`11 (1)/(2)=(23)/(2)`

Now add both fractions.

`(25)/(4) +(23)/(2)`

To add both fraction the denominators should be same

LCD= 4

multiply the second fraction by 2

`(25)/(4) +(46)/(4)`

`(71)/(4)`