Francine had 17 1/6
metres of ribbon on a roll.
She cut two lengths of ribbon, 3/4
metres and 1 3/4
metres.
How much ribbon was left on the roll?
Answer in fraction
To find out how much ribbon was used, we add the lengths of the two ribbons cut:
3/4 + 1 3/4 = 3/4 + 7/4 = 10/4 + 7/4 = 17/4
This means that Francine used a total of 17/4 metres of ribbon.
To find out how much ribbon is left on the roll, we subtract the amount used from the total amount:
17 1/6 - 17/4
To subtract these fractions, we need to have a common denominator. The least common denominator of 6 and 4 is 12.
Converting 1/6 to twelfths: 1/6 = 2/12
So, we have:
17 2/12 - 17/4
This becomes:
(17*(12/12)) + 2/12 - 51/12 = (204+2-51)/12 = 155/12
Therefore, there are 155/12 metres of ribbon left on the roll after Francine cuts two lengths.