201k views
9 votes
Calculate the quotient. Use paper to show all calculations. Enter your answer in the box below.

6/7 divided by 7 1/2

User Brad Oyler
by
5.0k points

2 Answers

7 votes

Final answer:

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Convert the mixed number to an improper fraction and compute the division.

Step-by-step explanation:

To calculate the quotient, 6/7 divided by 7 1/2, we need to convert the mixed number 7 1/2 to an improper fraction. To do this, we multiply the whole number (7) by the denominator (2), which is 14. Then we add the numerator (1) to get 15. The improper fraction is therefore 15/2.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 15/2 is 2/15. So, our division becomes (6/7) * (2/15).

Now, we can multiply the numerators (6 * 2 = 12) and the denominators (7 * 15 = 105) to get the final quotient. The answer is 12/105.

User Tambler
by
4.2k points
10 votes

Answer:

4/35

Step-by-step explanation:

1. Find 7 1/2

15/2

2. Flip 15/2

2/15

3. Multiply

12/105

4. Simplify

4/35

User Joseph Izang
by
4.7k points