What is 9 5/6 multiplied by 5 1/4

45 5/24

413/8 or 51.625 decimal

Step-by-step explanation:

Simplify the following:

(9 + 5/6) (5 + 1/4)

Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4*5) / 4 + 1/4:

(9 + 5/6) (4*5) / 4 + 1/4

4*5 = 20:

(9 + 5/6) (20/4 + 1/4)

20/4 + 1/4 = (20 + 1) / 4:

(9 + 5/6) (20 + 1) / 4

20 + 1 = 21:

(9 + 5/6) * 21/4

Put 9 + 5/6 over the common denominator 6. 9 + 5/6 = (6*9) / 6 + 5/6:

21/4 (6*9) / 6 + 5/6

6*9 = 54:

((54/6 + 5/6) * 21) / 4

54/6 + 5/6 = (54 + 5) / 6:

21/4 (54 + 5) / 6

54 + 5 = 59:

59/6*21/4

59/6*21/4 = (59*21) / (6*4):

(59*21) / (6*4)

The gcd of 21 and 6 is 3, so (59*21) / (6*4) = (59 (3*7)) / ((3*2) 4) = 3/3 * (59*7) / (2*4) = (59*7) / (2*4):

(59*7) / (2*4)

2*4 = 8:

(59*7) / 8

59*7 = 413:

Answer: 413/8