Question

-2 1/4*2 1/2
Please help and hurry

Answer 1

-45/8

Explanation:

-2 1/4 · 2 1/2

-2 1/4 = -9/4

2 1/2 = 5/2

-9/4 · 5/2 = -45/8

So, the answer is -45/8

Answer 2

`-5(5)/(8)`

Explanation:

To multiply mixed numbers, first convert them into improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

`-2(1)/(4) \cdot 2(1)/(2)=-(2\cdot 4+1)/(4)\cdot (2\cdot 2+1)/(2)`

`=-(8+1)/(4)\cdot (4+1)/(2)`

`=-(9)/(4)\cdot (5)/(2)`

When multiplying fractions, simply multiply the numerators and multiply the denominators:

`=-(9\cdot5)/(4\cdot2)`

`=-(45)/(8)`

Convert the improper fraction into a mixed number by dividing the numerator by the denominator. The number 8 goes into 45 five times (8 × 5 = 40), and there is 5 left over. Therefore:

`-(45)/(8)=5\; \rm remainder \;5`

The mixed number answer is the whole number and the remainder divided by the denominator:

`-5(5)/(8)`