Threeway and Fourway Fractions (and some Sixway Fractions)

1. What is 1/3 divided by 15 as a three way fraction?

(a)  

Answer explanation

To divide a fraction by a whole number, multiply the numerator by the reciprocal of the whole number. Therefore, (1/3) divided by 15 is equal to (1/3) multiplied by (1/15), which simplifies to 1/45. The correct choice is (1/3)/15.

2. What is 1 divided by 6 divided by 8 divided by 10 as a four way fraction?

(a)  

Answer explanation

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, 1 divided by 6 divided by 8 divided by 10 is equal to (1/6) multiplied by (10/8). Simplifying this gives (1/6) multiplied by (5/4), which is equal to 5/24. Therefore, the correct four-way fraction is (1/6)/(4/5).

3. What is 2 divided by 8 divided by 9 divided by 3³?

(a)  

Answer explanation

Simplify!

3. 4. What is 7 divided by 49 divided by 15 divided by 45 as a four way fraction?

(a)  

Answer explanation

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, 7 divided by 49 divided by 15 divided by 45 is equal to (7/49) * (45/15) = 21/49. Therefore, the correct choice is (1/7)/(1/3).

4. 5. What is the difference between a four way fraction and a three way fraction?

• A three way fraction is a fraction divided by a fraction.

• A four way fraction is a fraction divided by a fraction.

• A three way fraction is a fraction divided by a number.

• A four way fraction is a fraction divided by a number.

Answer explanation

A four way fraction is a fraction divided by a fraction, while a three way fraction is a fraction divided by a number.

5. 6. What is 1/3 TIMES 1/7 DIVIDED BY 2/8 as a six way fraction?

(a)  

Answer explanation

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, (1/3) ÷ (1/7) = (1/3) × (7/1) = 7/3. Then, divide 7/3 by 2/8. To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, (7/3) ÷ (2/8) = (7/3) × (8/2) = 56/6 = 28/3. Therefore, the answer is 9 and 1/3.

7. What is the name of a fraction divided by a fraction?

(a)  

Answer explanation

If you have (A/B)/C, then A/B is the fraction and C is the number. A/B (fraction) is divided by the number (C).

8. 8. Finish this Threeway Fraction: (1/3)/ (a)   = 1/51. What goes in the blank?

Answer explanation

To divide fractions by numbers, either multiply the denominator or divide the numerator. To multiply fractions by numbers, either divide the denominator or multiply the numerator.

9. 9. What is the Fourway Fraction: (1/3)/(2/9). What is the answer? (Type the fraction and the decimal.)

(a)  

10. 10. Fill in the blank: A Threeway ________ is a ________ divided __ a ______.

(a)  

Answer explanation

The hint says (1/3)/7 = 21, which represents a number divided by a number (a THREEWAY FRACTION???????????).