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 :

Blanca has [tex]\(\frac{3}{4}\)[/tex] pound of tuna salad, and she uses [tex]\(\frac{1}{3}\)[/tex] of it to make sandwiches. To find out how much tuna salad she uses, we need to calculate [tex]\(\frac{1}{3}\)[/tex] of [tex]\(\frac{3}{4}\)[/tex].

Here is a step-by-step solution:

1. Identify the fractions:
- Total tuna salad Blanca has: [tex]\(\frac{3}{4}\)[/tex] pound.
- Fraction of tuna salad used: [tex]\(\frac{1}{3}\)[/tex].

2. Multiply the fractions:
To find out how much tuna salad is used, multiply [tex]\(\frac{3}{4}\)[/tex] by [tex]\(\frac{1}{3}\)[/tex].

[tex]\[
\text{Amount used} = \frac{3}{4} \times \frac{1}{3}
\][/tex]

3. Perform the multiplication:
Multiply the numerators together and multiply the denominators together:

[tex]\[
\frac{3 \times 1}{4 \times 3} = \frac{3}{12}
\][/tex]

4. Simplify the fraction:
Simplify [tex]\(\frac{3}{12}\)[/tex] to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor, which is 3.

[tex]\[
\frac{3}{12} = \frac{1}{4}
\][/tex]

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