Step: 1

[Original expression.]

Step: 2

= 6 7 × 4 3

[Multiply 6 7 by 4 3 , the reciprocal of 3 4 .]

Step: 3

= 2 7 × 4 1

[Cancel 6 with 3.]

Step: 4

= 2 × 4 7 × 1

[Multiply the numerators and the denominators separately.]

Step: 5

= 8 7

[Simplify.]

Correct Answer is : 8 7

Step: 1

3 ÷ 2 3

[Original expression.]

Step: 2

= 3 1 ÷ 2 3

[Write the whole number 3 as a fraction with denominator of 1.]

Step: 3

= 3 1 × 3 2

[Multiply 3 1 by the reciprocal of 2 3 .]

Step: 4

= 3 × 3 1 × 2

[Multiply the numerators and the denominators.]

Step: 5

= 9 2 = 4 1 2

[Convert improper fraction into mixed number.]

Correct Answer is : 4 1 2

Step: 1

2 = 2 1

[Rewrite the whole number 2 as a fraction, with denominator 1.]

Step: 2

[Divide 3 4 by 2.]

Step: 3

[Multiply 3 4 by the reciprocal of 2 1 .]

Step: 4

= 3x1 4x2

[Multiply the numerators and the denominators.]

Step: 5

= 3 8

[Simplify.]

Step: 6

Each honeybee can suck 3 8 part of nectar from a flower.

Correct Answer is : 3 8

Step: 1

[1 ft = 12 in. Convert ft into in.]

Step: 2

Number of 1 4 inches in 1 4 ft = 3 ÷ 1 4

Step: 3

3 ÷ 1 4

[Divide 3 by 1 4 .]

Step: 4

= 3 1 ÷ 1 4

[Rewrite the whole number 3 as a fraction, with the denominator 1.]

Step: 5

= 3 1 × 4 1

[Multiply 3 1 with the reciprocal of 1 4 .]

Step: 6

= 3 × 4 1 × 1

[Multiply the numerators and the denominators.]

Step: 7

= 12

[Simplify.]

Step: 8

Number of 1 4 inches in 1 4 ft = 12

Correct Answer is : 12

Step: 1

[Since 1 lb = 16 oz.]

Step: 2

8 ÷ 1 10

[Divide 8 by 1 10 .]

Step: 3

= 8 1 ÷ 1 10

[Rewrite the whole number 8 as a fraction, with the denominator 1.]

Step: 4

= 8 1 × 10 1

[Multiply 8 1 with the reciprocal of 1 10 .]

Step: 5

= 8 × 1 0 1 × 1

[Multiply the numerators and denominators.]

Step: 6

= 80

[Simplify.]

Step: 7

There are 80, 1 10 oz in 1 2 lb.

Correct Answer is : 80

Step: 1

[Write the expression.]

Step: 2

= 5 11 ÷ 6 1

[Write the whole number as a fraction.]

Step: 3

= 5 11 × 1 6

[Multiply by the reciprocal of 6 1 , which is 1 6 .]

Step: 4

= 5 × 1 1 1 × 6

[Multiply numerators and denominators separately.]

Step: 5

= 5 66

[Simplify.]

Step: 6

So, each person ate 5 66 of the food ordered.

Correct Answer is : 5 66

Step: 1

[Write the expression.]

Step: 2

= 4 6 ÷ 20 1

[Write the whole number as a fraction.]

Step: 3

= 4 6 × 1 20

[Multiply by the reciprocal of 20 1 , which is 1 20 .]

Step: 4

= 1 6 × 1 5

[Cancel 20 with 4.]

Step: 5

= 1 × 1 6 × 5

[Multiply numerators and denominators separately.]

Step: 6

= 1 30

[Simplify.]

Step: 7

So, each student gets 1 30 of the cake.

Correct Answer is : 1 30

Step: 1

[Write the expression.]

Step: 2

= 1 3 x 9 1

[Multiply by the reciprocal of 1 9 , which is 9 1 .]

Step: 3

= 1 1 x 3 1

[Cancel 9 with 3.]

Step: 4

= 3

[Simplify.]

Step: 5

So, 3 guests got 1 cake.

Correct Answer is : 3

Step: 1

[Write the equation.]

Step: 2

= 12 13 ÷ 15 1

[Write the whole number as a fraction.]

Step: 3

= 12 13 x 1 15

[Multiply by the reciprocal of 15 1 , which is 1 15 .]

Step: 4

= 4 13 x 1 5

[Cancel 15 and 12 with 3.]

Step: 5

= 4x1 13x5

[Multiply numerators and denominators separately.]

Step: 6

= 4 65

[Simplify.]

Step: 7

So, the fraction of bags each customer got is 4 65 .

Correct Answer is : 4 65

Step: 1

[Write the expression.]

Step: 2

[Write the whole number as a fraction.]

Step: 3

[Multiply by the reciprocal of 32 1 , which is 1 32 .]

Step: 4

[Cancel 32 with 4.]

Step: 5

[Multiply numerators and denominators separately.]

Step: 6

= 1 72

[Simplify.]

Step: 7

So, 1 72 of the food is sufficient to feed one animal.

Correct Answer is : 1 72

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