Question

convert each fraction to a percentage by generating an equivalent fraction with a denominator of 100.

	original fraction	equivalent fraction with a denominator of 100	percentage
2.	\\(\frac{37}{50}\\)	\\(\frac{37}{50} \times \frac{\quad}{\quad} = \frac{\quad}{100}\\)
3.	\\(\frac{7}{10}\\)
4.	\\(\frac{9}{4}\\)

Explanation:

Step 1: Solve for 2. $\frac{37}{50}$

To get a denominator of 100, we need to find what to multiply 50 by to get 100. Since $50\times2 = 100$, we multiply the numerator and denominator by 2. So $\frac{37}{50}\times\frac{2}{2}=\frac{74}{100}$. The percentage is 74%.

Step 2: Solve for 3. $\frac{7}{10}$

To get a denominator of 100, multiply numerator and denominator by 10 (since $10\times10 = 100$). So $\frac{7}{10}\times\frac{10}{10}=\frac{70}{100}$. The percentage is 70%.

Step 3: Solve for 4. $\frac{9}{4}$

To get a denominator of 100, find what to multiply 4 by to get 100. $4\times25 = 100$, so multiply numerator and denominator by 25. $\frac{9}{4}\times\frac{25}{25}=\frac{225}{100}$. The percentage is 225%.

Answer:

1. Equivalent Fraction: $\frac{37}{50}\times\frac{2}{2}=\frac{74}{100}$, Percentage: 74%
2. Equivalent Fraction: $\frac{7}{10}\times\frac{10}{10}=\frac{70}{100}$, Percentage: 70%
3. Equivalent Fraction: $\frac{9}{4}\times\frac{25}{25}=\frac{225}{100}$, Percentage: 225%