sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog rocky. he uses…

sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog rocky. he uses $\frac{1}{2}$ cup of coconut oil to make $\frac{2}{3}$ cup of toothpaste. how much coconut oil does sean use per cup of toothpaste? cup(s) coconut oil per cup toothpaste

sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog rocky. he uses $\frac{1}{2}$ cup of coconut oil to make $\frac{2}{3}$ cup of toothpaste. how much coconut oil does sean use per cup of toothpaste? cup(s) coconut oil per cup toothpaste

Answer

Explanation:

Step1: Set up the ratio

We want to find the amount of coconut oil per cup of tooth - paste. Let $x$ be the amount of coconut oil per cup of tooth - paste. We know that $\frac{1}{2}$ cup of coconut oil makes $\frac{2}{3}$ cup of tooth - paste. So the ratio is $\frac{\frac{1}{2}}{\frac{2}{3}}=x$.

Step2: Divide by a fraction

Dividing by a fraction is the same as multiplying by its reciprocal. So $x = \frac{1}{2}\div\frac{2}{3}=\frac{1}{2}\times\frac{3}{2}$.

Step3: Multiply the fractions

Multiply the numerators and denominators: $\frac{1\times3}{2\times2}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$