Linda has 7/8 yard of fabric. She used 2/3 of it to make a purse. How much fabric did she use?
(2/3) * (7/8) = 14/24 = 7/12 yard
To find out how much fabric Linda used, we need to multiply the fraction representing the amount of fabric she had (7/8 yard) by the fraction representing the amount she used (2/3).
Here's how to calculate it step by step:
Step 1: Multiply the numerators (the numbers on the top) of the fractions: 7 * 2 = 14.
Step 2: Multiply the denominators (the numbers on the bottom) of the fractions: 8 * 3 = 24.
Step 3: The result is the new fraction obtained by multiplying the original fractions: 14/24.
However, it is usually more helpful to express the fraction in its simplest form. To do this, we need to find the greatest common divisor (GCD) of both the numerator and the denominator, which in this case is 2. We divide both the numerator and the denominator by the GCD:
Step 4: Divide both the numerator and the denominator by 2: 14 ÷ 2 = 7, 24 ÷ 2 = 12.
Final Answer: Linda used 7/12 yards of fabric to make the purse.