Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 29, 2023

Julissa has 8 yards of fabric. Each blanket needs $\frac{2}{3}$ yard of fabric. How many blankets can she make?

STEP 1

Assumptions
1. Julissa has 8 yards of fabric.
2. Each blanket that she makes needs $\frac{2}{3}$ yard of fabric.

STEP 2

We need to find out how many blankets Julissa can make. We can do this by dividing the total amount of fabric she has by the amount of fabric needed for each blanket.
$Number\, of\, blankets = Total\, fabric / Fabric\, per\, blanket$

STEP 3

Now, plug in the given values for the total fabric and fabric per blanket to calculate the number of blankets.
$Number\, of\, blankets = 8 / \frac{2}{3}$

STEP 4

To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$ .
$Number\, of\, blankets = 8 \\times \frac{3}{2}$

STEP 5

Calculate the number of blankets.
$Number\, of\, blankets = 8 \\times \frac{3}{2} = 12$
Julissa can make 12 blankets.

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