Question

Whats the unit rate for 7/12 liter in 3/10 kilometers

Answer 1

35/18 litres per kilometers

Step-by-step explanation:

Amount in liters = 7/12 L

Distance = 3/10 kilometers

Unit rate = amount/distance

`\text{unit rate = }\frac{(7)/(12)\text{litres}}{(3)/(10)\text{kilometers}}`

Unit rate = 7/12 ÷ 3/10

Using the KCF: keep the first fraction, change the sign to multiplication and flip the second fraction

`\begin{gathered} \text{flip 3/10 = 10/3} \\ \text{Unit rate = }(7)/(12)*(10)/(3) \end{gathered}`
`\begin{gathered} \text{unit rate = 70/36 }=(2\mleft(35\mright))/(2\mleft(18\mright)) \\ \text{unit rate = 35/18 litres/kilometers} \end{gathered}`