Jenna bought a spool of ribbon for her craft projects. It contained 5 3/4 meters of ribbon. She used 3 2/5 meters of ribbon for a project.How many meters of ribbon does Jenna have left?
Instructions: Put answer in simplest form.
5 3/4 - 3 2/5
Change 3/4 to 15/20
change 2/5 to 8/20
5 - 3 = 2
15/20 -8/20 = 7/20
Ans. 2 7/20
5 3/4 - 3 2/5 = 23/4-17/5 = 115/20-68/20 = 47/20 = 2 7/20 m. left.
To find out how many meters of ribbon Jenna has left, we can subtract the length of the ribbon she used from the total length of the spool.
1. First, let's convert the mixed numbers to improper fractions for easier calculations. The spool contains 5 3/4 meters of ribbon, which is equivalent to 5 + 3/4 = (4*5 + 3)/4 = 23/4 meters.
2. Similarly, Jenna used 3 2/5 meters of ribbon, which is equivalent to 3 + 2/5 = (5*3 + 2)/5 = 17/5 meters.
3. Now, subtracting the length of the ribbon used from the total length of the spool:
23/4 - 17/5
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 4 and 5 is 20. Therefore, we can rewrite the fractions with a common denominator of 20:
(23/4) * (5/5) - (17/5) * (4/4)
= (115/20) - (68/20)
4. Finally, subtract the numerators and keep the denominator the same:
(115 - 68)/20
= 47/20
Answer: Jenna has 47/20 meters of ribbon left.