Respuesta :

Answer:

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

Step-by-step 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:

  • [tex]3\frac{3}{4}[/tex]
  • [tex]5\frac{1}{3}[/tex]
  • [tex]\frac{1}{3}[/tex]
  • [tex]1 \frac{1}{4}[/tex]
  • Option A, Option B , Option C

Step-by-step explanation:

Multiply

24.

[tex]5 \times \frac{3}{4} \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:5=\frac{5}{1}\\\\=\frac{5}{1}\times \frac{3}{4}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\\\\frac{5}{1}\times \frac{3}{4}=\frac{5\times \:3}{1\times \:4}\\\\=\frac{15}{4}\\\\15\div 4=3 \: remainder 3 \\\\= 3\frac{3}{4}[/tex]

25.

[tex]-2 \times \frac{8}{3} \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2}{1}\\=-\frac{2}{1}\times \frac{8}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\\\\frac{2}{1}\times \frac{8}{3}=\frac{2\times \:8}{1\times \:3}\\\\=-\frac{16}{3}\\\\16\div 3 = 5 \:remainder\: 1 \\\\5 \frac{1}{3}[/tex]

26.

[tex]\frac{1}{4} \times \frac{3}{2} \times \frac{8}{9} \\\\\frac{1}{4}\times \frac{8}{9}=\frac{2}{9}\\\\=\frac{2}{9}\times \frac{3}{2}\\\\\mathrm{Cross-cancel\:common\:factor:}\:2\\=\frac{3}{9}\\\\\mathrm{Factor\:the\:number:\:}\:9=3\times \:3\\=\frac{3}{3\times \:3}\\\\\mathrm{Cancel\:the\:common\:factor:}\:3\\= \frac{1}{3}[/tex]

27.

[tex]25\times \frac{3}{5} \times \frac{1}{12} \\\\\frac{3}{5}\times \frac{1}{12}=\frac{1}{5}\times \frac{1}{4}\\=25\times \frac{1}{5}\times \frac{1}{4}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:25=\frac{25}{1}\\\\=\frac{25}{1}\times \frac{1}{5}\times \frac{1}{4}\\\\\frac{25}{1}\times \frac{1}{5}=\frac{5}{1}\\\\=\frac{5}{1}\times \frac{1}{4}\\\\=\frac{5\times \:1}{1\times \:4}\\\\= \frac{5}{4} \\\\5\div 4 = 1\: remainder\: 1\\\\= 1\frac{1}{4}[/tex]

28.

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