The ribbon measured 4/5

Question

of a yard. Jamie trimmed off a piece from the ribbon that was 1/2
of a yard. How long is the other piece of ribbon now?(1 point)
Responses

1 yard
1 yard

3/10 yard
3/10 yard

1/2 yard
1/2 yard

11215
yard

Answer 1

To find out how much ribbon is left after Jamie trimmed off a piece from the original 4/5 yard, we can perform the following calculation:

1. Start with the total length of the ribbon: \( \frac{4}{5} \) yard.
2. Subtract the length of the piece trimmed off, which is \( \frac{1}{2} \) yard.

To subtract these fractions, we need a common denominator. The least common multiple of 5 and 2 is 10.

• Convert \( \frac{4}{5} \) to a fraction with a denominator of 10: \[ \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} \]

• Convert \( \frac{1}{2} \) to a fraction with a denominator of 10: \[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \]

Now, subtract: \[ \frac{8}{10} - \frac{5}{10} = \frac{3}{10} \]

So, the length of the remaining piece of ribbon is \( \frac{3}{10} \) yard.

The correct response is: 3/10 yard.