Two ribbons

The total length of the two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon?

Correct answer:

b =  5.375 m

Step-by-step explanation:

$$\begin{gathered} a=7{\displaystyle \frac{5}{8}}=7+{\displaystyle \frac{5}{8}}={\displaystyle \frac{7\cdot 8+5}{8}}={\displaystyle \frac{61}{8}}=7.625\text{ m } \\ s=13\text{ m } \\ a+b=s \\ b=s-a=13-7.625={\displaystyle \frac{43}{8}}\text{ m}=5\frac{3}{8}\text{ m}=5.375\text{ m} \end{gathered}$$

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