Question

PLEASE HELP ME AGAIN

Answer 1

The answer to 28 is D. The answers for question 24 and more are below.

Explanation:

24. 5 x 3/4 = 15/4

25. -2 x 8/3 - 16/3 (Multiply the numerator, cannot be divided by the denominator without being a mixed number)

26. 24/72 = 1/3 (simple multiplication and division, in this case both the numerator and denomator multiply each other)

27. 15/12 (again, simple multiplication.)

Answer 2

• 
  `3(3)/(4)`
• 
  `5(1)/(3)`
• 
  `(1)/(3)`
• 
  `1 (1)/(4)`
• Option A, Option B , Option C

Explanation:

Multiply

24.

`5 * (3)/(4) \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:5=(5)/(1)\\\\=(5)/(1)* (3)/(4)\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)\\\\(5)/(1)* (3)/(4)=(5* \:3)/(1* \:4)\\\\=(15)/(4)\\\\15/ 4=3 \: remainder 3 \\\\= 3(3)/(4)`

25.

`-2 * (8)/(3) \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:2=(2)/(1)\\=-(2)/(1)* (8)/(3)\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)\\\\(2)/(1)* (8)/(3)=(2* \:8)/(1* \:3)\\\\=-(16)/(3)\\\\16/ 3 = 5 \:remainder\: 1 \\\\5 (1)/(3)`

26.

`(1)/(4) * (3)/(2) * (8)/(9) \\\\(1)/(4)* (8)/(9)=(2)/(9)\\\\=(2)/(9)* (3)/(2)\\\\\mathrm{Cross-cancel\:common\:factor:}\:2\\=(3)/(9)\\\\\mathrm{Factor\:the\:number:\:}\:9=3* \:3\\=(3)/(3* \:3)\\\\\mathrm{Cancel\:the\:common\:factor:}\:3\\= (1)/(3)`

27.

`25* (3)/(5) * (1)/(12) \\\\(3)/(5)* (1)/(12)=(1)/(5)* (1)/(4)\\=25* (1)/(5)* (1)/(4)\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:25=(25)/(1)\\\\=(25)/(1)* (1)/(5)* (1)/(4)\\\\(25)/(1)* (1)/(5)=(5)/(1)\\\\=(5)/(1)* (1)/(4)\\\\=(5* \:1)/(1* \:4)\\\\= (5)/(4) \\\\5/ 4 = 1\: remainder\: 1\\\\= 1(1)/(4)`

28.

`(3)/(4) \\\mathrm{Convert}\:(3)/(4)\:\mathrm{to\:decimal\:by\:applying\:long\:division}\\\\\mathrm{The\:solution\:for\:Long\:Division\:of}\:(3)/(4)\:\mathrm{is}\:0.75\\\\3 : 4 = (3)/(4) \\\\75\% = (75)/(100) \\\\Cross\: cancel \: the\:common\:factor\:25\\\\75/ 25 =3\\100 / 25 = 4\\\\= (3)/(4)`