Write the ratio 35:15 as a simplified fraction.

Write the ratio 35:15 as a simplified fraction.

• A. 3/7
• B. 35/15
• C. 7/3
• D. 5/3

Answer: (C)

Converting a ratio to a fraction and simplifying by common factors is the idea. The ratio 35:15 becomes the fraction 35/15. To simplify, divide both top and bottom by the greatest common factor of 35 and 15, which is 5. So 35 ÷ 5 = 7 and 15 ÷ 5 = 3, yielding 7/3. This is in lowest terms because 7 and 3 share no common factors other than 1. The simplified form is 7/3, which is an improper fraction (larger numerically than the denominator) and equals 2 1/3 in mixed-number form if you prefer.

Converting a ratio to a fraction and simplifying by common factors is the idea. The ratio 35:15 becomes the fraction 35/15. To simplify, divide both top and bottom by the greatest common factor of 35 and 15, which is 5. So 35 ÷ 5 = 7 and 15 ÷ 5 = 3, yielding 7/3. This is in lowest terms because 7 and 3 share no common factors other than 1. The simplified form is 7/3, which is an improper fraction (larger numerically than the denominator) and equals 2 1/3 in mixed-number form if you prefer.