Question

What is 12 2/3 times 19 1/4? Put in your answer as a mixed number.

Answer 1

243.83

Explanation:

Multiple: 38/

3

* 77/

4

= 38 · 77/

3 · 4

= 2926/

12

= 1463 · 2/

6 · 2

= 1463/

6

Answer 2

`243 (5)/(6)`

Explanation:

Given multiplication:

`12 (2)/(3) * 19 (1)/(4)`

Convert the mixed numbers to improper fractions:

`\implies (12 * 3+2)/(3) * (19 * 4+1)/(4)`

`\implies (36+2)/(3) * (76+1)/(4)`

`\implies (38)/(3) * (77)/(4)`

`\textsf{Apply the fraction rule} \quad (a)/(c)*(b)/(d)=(ab)/(cd):`

`\implies (38*77)/(3*4)`

`\implies (2926)/(12)`

Divide the numerator and denominator by 2:

`\implies (2926 / 2)/(12 / 2)`

`\implies (1463)/(6)`

Convert to a mixed number:

`\implies 243 (5)/(6)`