College

Blanca has [tex]\frac{3}{4}[/tex] pound of tuna salad. She uses [tex]\frac{1}{3}[/tex] of the tuna salad to make sandwiches. How much of the tuna salad does Blanca use?

[tex]\qquad[/tex] pound

Answer :

To find out how much tuna salad Blanca uses, follow these steps:

1. Initial Amount of Tuna Salad: Blanca has [tex]\(\frac{3}{4}\)[/tex] pound of tuna salad.

2. Fraction of Tuna Salad Used: She uses [tex]\(\frac{1}{3}\)[/tex] of this amount to make sandwiches.

3. Calculate the Amount Used: To find out how much she uses, multiply the initial amount of tuna salad by the fraction she uses:
[tex]\[
\text{Tuna salad used} = \frac{3}{4} \times \frac{1}{3}
\][/tex]

4. Perform the Multiplication: Multiply the numerators together and the denominators together:
[tex]\[
\frac{3 \times 1}{4 \times 3} = \frac{3}{12}
\][/tex]

5. Simplify the Fraction: Simplify [tex]\(\frac{3}{12}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[
\frac{3 \div 3}{12 \div 3} = \frac{1}{4}
\][/tex]

So, Blanca uses [tex]\(\frac{1}{4}\)[/tex] pound of tuna salad to make sandwiches.