Question

1) -12/13*1 5/8 2) -5 1/4* (-2 1/3) 3) -1 5/7* (-6 1/8) 4) 3 3/5* (-2 7/9)

Answer 1

Пошаговое объяснение:

-12/13 * 1 5/8 = -12/13 * 13/8 = -3/1 * 1/2 = -3/2 = -1 1/2

-5 1/4 * (-2 1/3) = -21/4 * (-7/3) = -7/4 * (-7/1) = 49/4 = 12 1/4

-1 5/7 * (-6 1/8) = -12/7 * (-49/8) = -3/1 * (-7/2) = 21/2 = 10 1/2

3 3/5 * (-2 7/9) = 18/5 * (-25/9) = 2/1 * (-5/1) = -10/1 = -10

Answer 2

Let's solve each of the given expressions step by step:

1. (-12/13) * (1 5/8) To multiply these fractions, we first need to convert the mixed number 1 5/8 to an improper fraction. The conversion is as follows: 1 5/8 = (8 * 1 + 5)/8 = 13/8

Now, we can multiply the fractions: (-12/13) * (13/8) = (-12 * 13)/(13 * 8) = -156/104

Simplifying the fraction: -156/104 = -39/26 So, the result is -39/26.

2. (-5 1/4) * (-2 1/3) Converting the mixed numbers to improper fractions: -5 1/4 = (4 * -5 + 1)/4 = -21/4 -2 1/3 = (3 * -2 + 1)/3 = -7/3

Now, we can multiply the fractions: (-21/4) * (-7/3) = (21 * 7)/(4 * 3) = 147/12

Simplifying the fraction: 147/12 = 12 3/12 = 12 1/4 So, the result is 12 1/4.

3. (-1 5/7) * (-6 1/8) Converting the mixed numbers to improper fractions: -1 5/7 = (7 * -1 + 5)/7 = -12/7 -6 1/8 = (8 * -6 + 1)/8 = -49/8

Now, we can multiply the fractions: (-12/7) * (-49/8) = (12 * 49)/(7 * 8) = 588/56

Simplifying the fraction: 588/56 = 10 8/56 = 10 1/7 So, the result is 10 1/7.

4. (3 3/5) * (-2 7/9) Converting the mixed numbers to improper fractions: 3 3/5 = (5 * 3 + 3)/5 = 18/5 -2 7/9 = (9 * -2 + 7)/9 = -11/9

Now, we can multiply the fractions: (18/5) * (-11/9) = (18 * -11)/(5 * 9) = -198/45

Simplifying the fraction: -198/45 = -4 18/45 = -4 2/15 So, the result is -4 2/15.

Therefore, the solutions to the given expressions are:

1. -39/26
2. 12 1/4
3. 10 1/7
4. -4 2/15