andrea cuts 62 1/2 inches of ribbon into 4 equal hair ribbons. How long was each hair ribbon?
Let's cheat and use decimals rather than fractions.
62.5 / 4 = 15.625 = 15 5/8 inches
If you need to show your work in fractions:
(125/2) / 4 = (125/2) * 1/4 =
To find the length of each hair ribbon, divide the total length of ribbon by the number of hair ribbons.
1. Convert the mixed number to an improper fraction:
62 1/2 = (2 * 62) + 1/2 = 124/2 + 1/2 = 125/2
2. Divide the total length by the number of hair ribbons:
Length of each hair ribbon = 125/2 ÷ 4
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1:
Length of each hair ribbon = (125 ÷ 2) ÷ 4
= 62.5 ÷ 4
= 15.625 inches
Therefore, each hair ribbon is 15.625 inches long.
To find the length of each hair ribbon, you can divide the total length of the ribbon (62 1/2 inches) by the number of hair ribbons (4).
Here's how you can do it step by step:
Step 1: Convert the mixed number, 62 1/2, to an improper fraction.
- Multiply the whole number (62) by the denominator of the fraction (2) and add the numerator (1).
- 62 * 2 + 1 = 124 + 1 = 125.
- The improper fraction form is 125/2.
Step 2: Divide the length of the ribbon by the number of hair ribbons.
- 125/2 ÷ 4 = 125/2 × 1/4 (dividing by a fraction is equivalent to multiplying by its reciprocal).
- Multiply the numerators (125 × 1) and the denominators (2 × 4).
- The result is 125/8.
Step 3: Simplify the fraction if necessary.
- In this case, the fraction cannot be simplified further.
- The final answer is 125/8.
Therefore, each hair ribbon is 125/8 inches long.