Answer :
Final answer:
Aisha's 15 1/5 meters of ribbon, when divided into two equal pieces, results in each piece being 7.6 meters long after converting the mixed number into an improper fraction and then dividing by 2.
Explanation:
To find the length of each piece of ribbon that Aisha divides, we first need to understand the total length of the ribbon in a single, consistent unit. Since Aisha has 15 1/5 meters of ribbon, we convert this mixed number into an improper fraction. This is done by multiplying the whole number by the denominator of the fraction, adding the numerator, and then placing the result over the original denominator.
So, 15 1/5 meters is equal to:
15 + (1/5) = (15 × 5/5) + (1/5) = (75/5) + (1/5) = 76/5 meters.
Now, to find the length of each piece when dividing the ribbon into 2 equal pieces, we simply divide this fraction by 2:
(76/5) ÷ 2 = (76/5) × (1/2) = (76 × 1) / (5 × 2) = 76/10 = 7.6 meters.
Therefore, each piece of ribbon will be 7.6 meters long.