Question

What is the product of 2 1/2 and 1 1/4

Answer 1

First, we transform the mixed fractions into improper fractions:

`\begin{gathered} 2(1)/(2)=(2\cdot2+1)/(2)=(5)/(2), \\ 1(1)/(4)=(1\cdot4+1)/(4)=(5)/(4). \end{gathered}`

Then, we multiply the improper fractions:

`(5)/(2)\cdot(5)/(4)=(5\cdot5)/(2\cdot4)=(25)/(8)\text{.}`

Finally, we transform the improper fraction into a mixed fraction:

`(25)/(8)=(24+1)/(8)=(3\cdot8+1)/(8)=3(1)/(8)\text{.}`

Answer:

`3(1)/(8)\text{.}`