Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?
this is a writing question
To determine how much ribbon Rebecca has left, we need to subtract the amount she gave to her friend from the initial amount she had.
Step 1: Convert the mixed numbers to improper fractions
9 of a yard = 9/10
7 of a yard = 7/20
Step 2: Subtract the amount given from the initial amount
9/10 - 7/20
Step 3: Find a common denominator for the fractions
The least common multiple of 10 and 20 is 20.
Step 4: Rewrite the fractions with the common denominator
(9/10) * (2/2) - (7/20) * (1/1)
Step 5: Perform the subtraction
(18/20) - (7/20) = 11/20
Therefore, Rebecca has 11/20 of a yard of ribbon left.
To solve this question, we need to subtract the amount of ribbon Rebecca gave to her friend from the amount she originally had.
Rebecca originally had
9
10
of a yard of ribbon. We need to subtract
7
20
of a yard from this.
To subtract fractions, we need to have a common denominator. In this case, the denominator is 10.
So we have:
(
9
10
) - (
7
20
)
To find the common denominator, we can multiply the denominators together:
10 * 20 = 200
Now, we can convert the fractions to have a common denominator:
(
9
10
) = (
9
10
) * (
20
20
) = (
180
200
)
(
7
20
) = (
7
20
) * (
10
10
) = (
70
200
)
Now, we can subtract the numerators:
(
180
200
) - (
70
200
) = (
180 - 70
200
) = (
110
200
)
Therefore, Rebecca has
110
200
of a yard of ribbon left.
However, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, and dividing both by it. In this case, the GCD of 110 and 200 is 10. By dividing both the numerator and denominator by 10, we get:
(
110
200
) รท 10 = (
11
20
)
So, Rebecca has
11
20
of a yard of ribbon left.