Question

Leah is creating satin bows for wedding from a 15 meter long ribbon she first cuts a piece 3 4/9 meters long then she cuts a piece 6 5/9 meters long from the remaining ribbon how much ribbon does Leah have left

Answer 1

Leah has 5 meters of ribbon left.

Explanation:

Operations with fractions

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(1)/(3)`

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(4)/(9)+6(5)/(9)`

To add these fractions, we add the integer parts and apart from the proper fractions:

`\displaystyle 3(4)/(9)+6(5)/(9)=3+6+(4)/(9)+(5)/(9)=9+(9)/(9)=9+1=10`

Now we can calculate the remaining length of ribbon:

Remaining riboon= 15 m - 10 m = 5 m

Leah has 5 meters of ribbon left.