What is the correct first step to simplify the ratio $3\frac{1}{5} : \frac{7}{10}$?

Convert $3\frac{1}{5}$ to an improper fraction.

Find the least common multiple of the denominators.

Multiply both parts of the ratio by 10.

Simplify the ratio by dividing by the GCF.

What is a Ratio? Practice — Grade 4 amc_math

Lesson 1: What is a Ratio? — Practice Questions

1. Simplify the ratio $\frac{3}{5} : \frac{1}{2}$. The resulting ratio is $6 :$ ___.
2. What is the ratio $2\frac{1}{4} : \frac{3}{8}$ in simplest form?
- A. $6 : 1$
- B. $18 : 3$
- C. $9 : 12$
- D. $2 : 1$
3. A recipe requires $\frac{4}{9}$ cup of sugar for every $1\frac{1}{3}$ cups of flour. Express the ratio of sugar to flour in simplest form as ___ $: 3$.
4. What is the correct first step to simplify the ratio $3\frac{1}{5} : \frac{7}{10}$?
- A. Convert $3\frac{1}{5}$ to an improper fraction.
- B. Find the least common multiple of the denominators.
- C. Multiply both parts of the ratio by 10.
- D. Simplify the ratio by dividing by the GCF.
5. Simplify the ratio of two mixed numbers, $3\frac{1}{2} : 2\frac{1}{3}$. The simplest form is ___ $: 2$.
6. A school orchestra has 24 violins and 40 cellos. Write the ratio of violins to cellos as a fraction in simplest form. ___
7. Which fraction represents the ratio $18:30$ in its simplest form?
- A. $\frac{3}{5}$
- B. $\frac{5}{3}$
- C. $\frac{9}{15}$
- D. $\frac{18}{30}$
8. What is the ratio of 8 inches to 3 feet, expressed as a simplified fraction?
- A. $\frac{2}{9}$
- B. $\frac{8}{3}$
- C. $\frac{1}{4}$
- D. $\frac{2}{3}$
9. A model car is 5 inches long, and the real car is 15 feet long. Find the ratio of the model's length to the real car's length as a simplified fraction. ___
10. A team won 14 games and lost 21 games. Which of the following does NOT represent the ratio of wins to losses?
- A. $\frac{14}{21}$
- B. $\frac{2}{3}$
- C. 14 to 21
- D. $\frac{3}{2}$