Answer:
<em>Leah has 5 meters of ribbon left.</em>
Step-by-step explanation:
<u>Operations with fractions</u>
Fractions can be defined as the quotient of two integer numbers. There are three types of fractions:
* Proper fractions: When the numerator is less than the denominator. Example: 2/5
* Improper fractions: When the numerator is greater than or equal to the denominator. Examples: 7/5, 13/13
* Mixed fractions: They are given as an integer followed by a proper fraction. Example: ![\displaystyle 4\frac{1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%5Cfrac%7B1%7D%7B3%7D)
Leah has a 15-meter long ribbon and is creating satin bows for weddings. She takes two pieces out of it. The total length of ribbon taken is the sum of both fractions:
Total cut:
![\displaystyle 3\frac{4}{9}+6\frac{5}{9}](https://tex.z-dn.net/?f=%5Cdisplaystyle%203%5Cfrac%7B4%7D%7B9%7D%2B6%5Cfrac%7B5%7D%7B9%7D)
To add these fractions, we add the integer parts and apart from the proper fractions:
![\displaystyle 3\frac{4}{9}+6\frac{5}{9}=3+6+\frac{4}{9}+\frac{5}{9}=9+\frac{9}{9}=9+1=10](https://tex.z-dn.net/?f=%5Cdisplaystyle%203%5Cfrac%7B4%7D%7B9%7D%2B6%5Cfrac%7B5%7D%7B9%7D%3D3%2B6%2B%5Cfrac%7B4%7D%7B9%7D%2B%5Cfrac%7B5%7D%7B9%7D%3D9%2B%5Cfrac%7B9%7D%7B9%7D%3D9%2B1%3D10)
Now we can calculate the remaining length of ribbon:
Remaining riboon= 15 m - 10 m = 5 m
Leah has 5 meters of ribbon left.