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

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:

413/8

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