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:

$6\div\frac{2}{3}$

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

$\begin{gathered} 6\div\frac{2}{3} \\ \frac{6}{1}\div\frac{2}{3} \end{gathered}$

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:

$\frac{6}{1}\cdot\frac{3}{2}=\frac{6\cdot3}{1\cdot2}=\frac{18}{2}=9$

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