Question

Malorie uses 2/3 foot of string to make a bracelet. She bought 6 feet of string. Write and solve an equation to find how many bracelets x she can make from 6 feet of string. What is the solution?

Answer 1

,Each bracelet requires 2/3 foot of string. To determine how many bracelets you can make out of 6 feet of string, you have to divide 6 by 2/3:

`6/(2)/(3)`

To divide a whole number by a fraction, the first step is to express the whole number as a fraction, for this, divide the number by 1

`\begin{gathered} 6/(2)/(3) \\ (6)/(1)/(2)/(3) \end{gathered}`

Next, you have to invert the divisor fraction (2/3), to establish its reciprocal fraction (3/2) and multiply the dividend (6/1) by the said reciprocal:

`(6)/(1)\cdot(3)/(2)=(6\cdot3)/(1\cdot2)=(18)/(2)=9`

The number of bracelets you can make with 6 feet of string is 9 bracelets.