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.

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

Answer 2

Answer:

$\frac{71}{4}$ or $17\frac{3}{4}$

Step-by-step 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

$6 \frac{1}{4}=\frac{25}{4}$

$11 \frac{1}{2}=\frac{23}{2}$

Now add both fractions.

$\frac{25}{4} +\frac{23}{2}$

To add both fraction the denominators should be same

LCD= 4

multiply the second fraction by 2

$\frac{25}{4} +\frac{46}{4}$

$\frac{71}{4}$