Question

If the quotient of 3/4 and 1/2 is subtracted from the product of 1 4/5 and 2 1/7 what is the difference? Write the solutions as a mixed number or a fraction in lowest terms.

Answer 1

Answer:

Step-by-step explanation:

Quotient of two quantities(numbers) is the result obtained dividing one quantity by the other quantity. Therefore, the quotient of 3/4 and 1/2 is

3/4 ÷ 1/2 =

3/4 × 2/1 =

3/2

To determine the product of 1 4/5 and 2 1/7, we would convert each of them to improper fractions first. Converting 1 4/5 to improper fraction, it becomes 9/5

Converting 2 1/7 to improper fraction, it becomes 15/7

Therefore, the product is

9/5 × 15/7 = 27/7

Therefore, the difference between

the product of 1 4/5 and 2 1/7 and the quotient of 3/4 and 1/2 is

27/7 - 3/2 = 33/14

Converting 33/14 to mixed number is 2 5/14

Answer 2

Answer:

2 5/14

Step-by-step explanation:

Quotient: ¾ ÷ ½ = 3/2

1 ⅘ = 9/5

2 1/7 = 15/7

Product:

9/5 × 15/7 = 27/7

27/7 - 3/2

Lcm: 14

[2(27) - 7(3)]/14

(54 - 21)/15

33/14

2 5/14