Question

If each bracelet needs 2/3 foot of string, how many bracelets can be made with 4 ¾ feet of string?

Answer 1

Answer: 7 bracelets

Explanation:

1 bracelet : 2/3 ft

4 3/4 = 19/4 feet

19/4 / 2/3 = 19/4 * 3/2

= 57/8 = 7 bracelets max

Answer 2

7 bracelets

Explanation:

Length of the bracelet = 2/3 ft

Length of the whole string = 4¾ ft

So, to find the number of bracelets can be made, divide the length of the whole string by the length of a bracelet.

Let us solve it now.

`\sf \: Number \: of \: bracelets = (Length \: of \: the \: whole \: string)/(Length \: of \: a \: bracelet) \\ \sf \: No \: of \: bracelets = 4 (3)/(4) / (2)/(3)`

First, make the fractions as improper fractions.

`\sf \: No \: of \: bracelets = 4 (3)/(4) / (2)/(3) \\ \sf \: No \: of \: bracelets = (19)/(4) / (2)/(3)`

Now, multiply the first fraction by the reciprocal of the second fraction.

`\sf \: No \: of \: bracelets = (19)/(4) * (3)/(2) \\ \sf \: No \: of \: bracelets = (57)/(8) = 7.125 \\ \sf \: approx =7\: bracelets`