Question

Question Multiply. (−5 5/8)⋅(−2 1/3) What is the product? Enter your answer as a simplified mixed number in the box.

Answer 1

Product = 13 1/8

Explanation:

The equation is,

→ (-5 5/8) × (-2 1/3)

Now the product of equation will be,

→ (-5 5/8) × (-2 1/3)

→ (-45/8) × (-7/3)

→ (-15 × -7)/8

→ 105/8

→ 13 1/8 {mixed fraction}

Therefore, the product is 13 1/8.

Answer 2

`13(1)/(8)`

Explanation:

Given expression:

`\left(-5 (5)/(8)\right) \cdot \left(-2 (1)/(3) \right)`

Convert the mixed numbers into improper fractions by multiplying the whole number by the denominator, adding it to the numerator of the fraction, and placing this as the numerator:

`\implies -(5 \cdot 8+5)/(8) \cdot -(2 \cdot 3+1)/(3)`

`\implies -(40+5)/(8) \cdot -(6+1)/(3)`

`\implies -(45)/(8) \cdot -(7)/(3)`

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

`\implies (-45 \cdot -7)/(8 \cdot 3)`

`\implies (315)/(24)`

Convert the improper fraction into a mixed number:

`\implies 315 / 24 = 13\: \text{r}\:3`

`\implies 13(3)/(24)`

`\implies 13(1)/(8)`