Question

6 3/8 / 3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To divide 6 3/8 by 3, you need to first convert the mixed number 6 3/8 into an improper fraction.

To do this, multiply the whole number (6) by the denominator (8), then add this result to the numerator (3). The resulting numerator will be 6 x 8 + 3 = 48 + 3 = 51.

Now the mixed number 6 3/8 can be written as an improper fraction, which is 51/8.

Next, divide 51/8 by 3. To do this, multiply the numerator (51) by the reciprocal of the denominator (3/1).

So, 51/8 ÷ 3 = 51/8 x 1/3.

Multiply the numerators together (51 x 1 = 51) and multiply the denominators together (8 x 3 = 24):

51/8 x 1/3 = 51/24.

The fraction can be simplified by finding the greatest common factor of 51 and 24, which is 3.

Divide both the numerator and denominator by 3:

51/24 ÷ 3/3 = (51 ÷ 3) / (24 ÷ 3) = 17/8.

Therefore, 6 3/8 divided by 3 is equal to 17/8.

Answer 2

What is the quotient of 6÷3 1/5 ?(1 point

Answer 3

[AI-generated answer — Bot GPT 3.5]

To divide 6 by 3 1/5, you first need to convert the mixed number 3 1/5 into an improper fraction.

To do this, multiply the whole number (3) by the denominator (5), then add this result to the numerator (1). The resulting numerator will be 3 x 5 + 1 = 15 + 1 = 16.

Now, the mixed number 3 1/5 can be written as an improper fraction, which is 16/5.

Next, divide 6 by 16/5. To do this, multiply 6 by the reciprocal of 16/5.

So, 6 ÷ 16/5 = 6 x 5/16.

Multiply the numerators together (6 x 5 = 30) and multiply the denominators together (16 x 1 = 16):

6 ÷ 16/5 = 30/16.

The fraction can be simplified by finding the greatest common factor of 30 and 16, which is 2.

Divide both the numerator and denominator by 2:

30/16 ÷ 2/2 = (30 ÷ 2) / (16 ÷ 2) = 15/8.

Therefore, 6 ÷ 3 1/5 is equal to 15/8.

Answer 4

What is the quotient of 10 2/5÷2 1/4 ?(1 point)

Answer 5

[AI-generated answer — Bot GPT 3.5]

To divide 10 2/5 by 2 1/4, you first need to convert the mixed numbers into improper fractions.

10 2/5 can be written as an improper fraction by multiplying the whole number (10) with the denominator (5) and adding the result to the numerator (2). So, 10 2/5 is equal to (10 * 5 + 2)/5 = 52/5.

2 1/4 can be written as an improper fraction by multiplying the whole number (2) with the denominator (4) and adding the result to the numerator (1). So, 2 1/4 is equal to (2 * 4 + 1)/4 = 9/4.

Now, the division becomes 52/5 ÷ 9/4. To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.

So, 52/5 ÷ 9/4 = 52/5 * 4/9.

Multiply the numerators together (52 * 4 = 208) and multiply the denominators together (5 * 9 = 45):

52/5 * 4/9 = 208/45.

Therefore, the quotient of 10 2/5 ÷ 2 1/4 is equal to 208/45.

Answer 6

AS A MIXED NUMBER PLEASE

Answer 7

[AI-generated answer — Bot GPT 3.5]

To express the fraction 208/45 as a mixed number, you need to divide the numerator (208) by the denominator (45).

Dividing 208 by 45 gives a quotient of 4 with a remainder of 28.

The mixed number is then 4 and the fraction 28/45.

Therefore, the quotient of 10 2/5 ÷ 2 1/4 is equal to 4 28/45.

Answer 8

Which of the following equations is true?(1 point)Responses10 1/3÷3 2/5=3/31 ⋅2/17

8 2/9÷3 4/5=9/74⋅5/19
9 3/7÷4 3/4=66/7⋅19/49
6 2/5÷3 1/6= 32/5⋅6/19

Answer 9

[AI-generated answer — Bot GPT 3.5]

To determine which equation is true, let's evaluate each expression:

1) 10 1/3 ÷ 3 2/5
To divide mixed numbers, convert them into improper fractions:
10 1/3 = (10 * 3 + 1) / 3 = 31/3
3 2/5 = (3 * 5 + 2) / 5 = 17/5

So the equation becomes: 31/3 ÷ 17/5

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
31/3 ÷ 17/5 = 31/3 * 5/17 = 155/51

2) 8 2/9 ÷ 3 4/5
8 2/9 = (8 * 9 + 2) / 9 = 74/9
3 4/5 = (3 * 5 + 4) / 5 = 19/5

So the equation becomes: 74/9 ÷ 19/5

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
74/9 ÷ 19/5 = 74/9 * 5/19 = 370/171

3) 9 3/7 ÷ 4 3/4
9 3/7 = (9 * 7 + 3) / 7 = 66/7
4 3/4 = (4 * 4 + 3) / 4 = 19/4

So the equation becomes: 66/7 ÷ 19/4

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
66/7 ÷ 19/4 = 66/7 * 4/19 = 16/7

4) 6 2/5 ÷ 3 1/6
6 2/5 = (6 * 5 + 2) / 5 = 32/5
3 1/6 = (3 * 6 + 1) / 6 = 19/6

So the equation becomes: 32/5 ÷ 19/6

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
32/5 ÷ 19/6 = 32/5 * 6/19 = 192/95

From these evaluations, none of the equations match the given options:

3/31 ⋅ 2/17 ≠ 155/51
9/74 ⋅ 5/19 ≠ 370/171
66/7 ⋅ 19/49 ≠ 16/7
32/5 ⋅ 6/19 ≠ 192/95

None of the equations are true.

Answer 10

PICK ONE

Answer 11

[AI-generated answer — Bot GPT 3.5]

Based on the given options, the equation that is true is:

9 3/7 ÷ 4 3/4 = 66/7 ⋅ 19/49

We can evaluate this equation to confirm:

9 3/7 = (9 * 7 + 3) / 7 = 66/7
4 3/4 = (4 * 4 + 3) / 4 = 19/4

So the equation becomes:

66/7 ÷ 19/4 = 66/7 * 4/19 = 66/7 * 4/19 = 16/7

Therefore, the equation 9 3/7 ÷ 4 3/4 = 66/7 ⋅ 19/49 is true.