Question

Susan has 32 1/2 yards of ribbon and needs to cut it in 1/3 yard increments. How many 1/3 year increments can she cut?

Answer 1

Answer: 97.5 or 98

Explanation:

Total Yards of Ribbon :-
32 1/2 = (32 * 2 + 1)/2 = (64 + 1)/2 = 65/2

So to find the number of 1/3 yard increments she can cut from 65/2 yards of ribbon, we simply divide 65/2 by 1/3.

Therefore,
= 65/2 ÷ 1/3 (Take Reciprocal of 1/3)
= 65/2 * 3/1
= (65 * 3)/(2 * 1)
= 195/2
=> 97.5

She can cut 97.5 increments of 1/3 yards. We can approximate it to 98.

Answer 2

97

Explanation:

To calculate how many 1/3 yard increments Susan can cut from her 32 1/2 yard length of ribbon, we need to divide 32 1/2 yards by 1/3 yards.

Begin by converting the mixed number into an improper fraction:

`\sf \implies 32 (1)/(2)=(32 * 2+1)/(2)=(65)/(2)`

Now divide it by 1/3:

`\sf \implies (65)/(2) / (1)/(3)=(65)/(2)* (3)/(1)=(65 * 3)/(2)=(195)/(2)`

Convert back into a mixed number:

`\sf \implies (195)/(2)=(194+1)/(2)=(194)/(2)+(1)/(2)=97(1)/(2)`

Therefore, Susan can cut 97 third of a yard increments from 32 1/2 yards of ribbon.