Question

Multiply. Reduce to lowest terms.
2 1/7 x 4 3/8

Answer 1

`(75)/(8) = 9 (3)/(8)`

Explanation:

`2(1)/(7) * 4 (3)/(8) \\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2(1)/(7)=(15)/(7)\\(15)/(7)* \:4(3)/(8)\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4(3)/(8)=(35)/(8)\\(15)/(7)* (35)/(8)\\\\\mathrm{Factor\:the\:number:\:}\:35=7* \:5\\=(15)/(7)* (7* \:5)/(8)\\\\\mathrm{Cross-cancel\:common\:factor:}\:7\\=(15)/(1)* (5)/(8)\\`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)\\(15)/(1)* (5)/(8)=(15* \:5)/(1* \:8)\\\\=(75)/(8)\\\\75/ 8 = 9 \: remainder \: 3\\\\= 9(3)/(8) \\\left(\mathrm{Decimal:\quad }\:9.375\right)`

Answer 2

2 1/7 x 4 3/8
15/7 x 3/2
45/14 or 3 3/14