Question

I need help multiplying fractions and then simplify

Answer 1

How to get answer:

`\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}\\2(3)/(5)\cdot (3)/(4)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a(b)/(c)=(a\cdot \:c+b)/(c)\\2(3)/(5)=(2\cdot 5+3)/(5)=(13)/(5)\\(13)/(5)\cdot (3)/(4)\\\mathrm{Multiply\:fractions}:\quad (a)/(b)\cdot (c)/(d)=(a\:\cdot \:c)/(b\:\cdot \:d)\\=(13\cdot \:3)/(5\cdot \:4)\\\mathrm{Multiply\:the\:numbers:}\:13\cdot \:3=39\\=(39)/(5\cdot \:4)\\`

`\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20\\=(39)/(20)\\Convert\:improper\:fractions\:to\:mixed\:numbers\\\mathrm{Long\:Division}\:(39)/(20):\quad 1\quad \mathrm{Remainder}\quad \:19\\Convert\:to\:mixed\:number:\:Quotient(Remainder)/(Divisor)\\Answer: (39)/(20)=1(19)/(20)`

Answer 2

2 3/5 * 3/4

change the 1st to an improper fraction

(5*2 + 3)/5 = 14/5

13/5 * 3/4

39/20

1 19/20