Answer:
The product of [tex]\bold{-2 \frac{1}{4} \text { and } 2 \frac{1}{2} \text { is }-5 \frac{5}{8}}[/tex]
Solution:
From question, given that [tex]-2 \frac{1}{4} \text { and } 2 \frac{1}{2}[/tex].
We have to find the product of these fractions in terms of mixed number.
By converting mixed fraction to simple fraction,
[tex]-2 \frac{1}{4} = -\frac{9}{4}[/tex]
Similarly,
[tex]2 \frac{1}{2} = \frac{5}{2}[/tex]
Hence the product of [tex]\bold{-\frac{9}{4} \text { and } \frac{5}{2}}[/tex] is
[tex]= -\frac{9}{4} \times \frac{5}{2}[/tex]
[tex]= -\frac{45}{8}[/tex]
Now again convert [tex]\frac{45}{8}[/tex] to mixed fraction,
When we divide 45 by 8, we get 5 as quotient and 5 as remainder. Here 8 is the divisor and 45 is the dividend.
The mixed fraction can be represented by,
[tex]\bold{=q u o t i e n t \frac{r e m a i n d e r}{d i v i s o r}}[/tex]
Hence [tex]-\frac{45}{8}[/tex] in terms of mixed fraction can be written as [tex]-5 \frac{5}{8}[/tex]
Hence product of [tex]\bold{-2 \frac{1}{4} \text { and } 2 \frac{1}{2} is-5 \frac{5}{8}}[/tex]
