Question

What is 1 7/8 times 5/6

Answer 1

`Solution, 1(7)/(8)\cdot (5)/(6)=1(9)/(16)\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)`

`Steps:`

`\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1(7)/(8)=(15)/(8), =(15)/(8)\cdot (5)/(6)`

`\mathrm{Cross-cancel\:common\:factor:}\:3, =(5)/(8)\cdot (5)/(2)`

`\mathrm{Multiply\:fractions}:\quad (a)/(b)\cdot (c)/(d)=(a\:\cdot \:c)/(b\:\cdot \:d), =(5\cdot \:5)/(8\cdot \:2)`

`\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =(25)/(8\cdot \:2)`

`\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =(25)/(16)`

`\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad (25)/(16)=1(9)/(16), =1(9)/(16)`

Hope this helps!!!