Question

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

Answer 1

Answer:

-5 5/8

Step-by-step explanation:

Answer 2

Answer:

The product of $\bold{-2 \frac{1}{4} \text { and } 2 \frac{1}{2} \text { is }-5 \frac{5}{8}}$

Solution:

From question, given that $-2 \frac{1}{4} \text { and } 2 \frac{1}{2}$.

We have to find the product of these fractions in terms of mixed number.  

By converting mixed fraction to simple fraction,

$-2 \frac{1}{4} = -\frac{9}{4}$

Similarly,

$2 \frac{1}{2} = \frac{5}{2}$

Hence the product of $\bold{-\frac{9}{4} \text { and } \frac{5}{2}}$ is

$= -\frac{9}{4} \times \frac{5}{2}$

$= -\frac{45}{8}$

Now again convert $\frac{45}{8}$ 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,

$\bold{=q u o t i e n t \frac{r e m a i n d e r}{d i v i s o r}}$

Hence $-\frac{45}{8}$ in terms of mixed fraction can be written as $-5 \frac{5}{8}$

Hence product of $\bold{-2 \frac{1}{4} \text { and } 2 \frac{1}{2} is-5 \frac{5}{8}}$