Question

2) 5 1/3 * (- 2 5/8)

Answer 1

Решение:

$\mathtt{5 \dfrac{1}{3} \cdot (-2 \dfrac{5}{8}) \ = \ \dfrac{5\cdot3+1}{3} \cdot (-\dfrac{2\cdot8+5}{8}) \ = \ \\ \\ \dfrac{16}{3} \cdot (-\dfrac{21}{8}) \ = \ -\dfrac{16 \cdot 21}{3 \cdot 8} \ = \ -\dfrac{336}{24} \ = \ -14}$

Ответ: -14

Answer 2

To multiply mixed numbers, follow these steps:

Step 1: Convert the mixed numbers to improper fractions. Step 2: Multiply the numerators of the fractions. Step 3: Multiply the denominators of the fractions. Step 4: Simplify the resulting fraction if possible. Step 5: Convert the improper fraction back to a mixed number, if desired.

Let's apply these steps to the expression: 5 1/3 * (-2 5/8).

Step 1: Convert mixed numbers to improper fractions: 5 1/3 = (3 * 5 + 1) / 3 = 16/3 -2 5/8 = (8 * -2 + 5) / 8 = -11/8

Step 2: Multiply the numerators of the fractions: 16 * -11 = -176

Step 3: Multiply the denominators of the fractions: 3 * 8 = 24

Step 4: Simplify the resulting fraction if possible: The fraction -176/24 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 8. -176/24 = (-22 * 8) / (3 * 8) = -22/3

Step 5: Convert the improper fraction back to a mixed number, if desired: -22/3 can be expressed as -7 1/3.

Therefore, 5 1/3 * (-2 5/8) is equal to -7 1/3.