There are 6 students in cooking class. Each one uses 3/4 tsp. of salt in their pasta. How much salt do they use in all? (Write in simplest form.)
Understand the Problem
The question is asking how much salt is used in total by 6 students if each student uses 3/4 teaspoon of salt. This involves multiplying the amount of salt used by each student by the number of students to find the total.
Answer
The total amount of salt used is $ \frac{9}{2} $ teaspoons.
Answer for screen readers
The total amount of salt used is $ \frac{9}{2} $ teaspoons, which is 4.5 teaspoons.
Steps to Solve
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Identify the amount of salt used by each student Each student uses $ \frac{3}{4} $ teaspoon of salt.
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Determine the number of students There are 6 students in total.
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Set up the multiplication equation To find the total amount of salt used, multiply the amount of salt used by each student by the number of students: $$ \text{Total salt} = 6 \times \frac{3}{4} $$
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Perform the multiplication Multiply to get the total salt. First, calculate: $$ = \frac{6 \times 3}{4} = \frac{18}{4} $$
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Simplify the fraction To express the fraction in simplest form, divide the numerator and denominator by their greatest common divisor (GCD), which is 2: $$ \frac{18 \div 2}{4 \div 2} = \frac{9}{2} $$
The total amount of salt used is $ \frac{9}{2} $ teaspoons, which is 4.5 teaspoons.
More Information
In cooking measurements, it’s common to use fractional teaspoons. The result of $ \frac{9}{2} $ teaspoons represents 4 and a half teaspoons, which might be more intuitive in practical cooking contexts.
Tips
- Forgetting to simplify the fraction after multiplying.
- Miscalculating the multiplication of fractions; ensure to multiply the numerator and the denominator correctly.
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