Question

9 1/3:7/8*7/16:14/27

Answer 1

1. 9 1/3 : 7/8 = 28/3*8/7=4/3*8/1=32/3
2. 32/3*7/16=2/3*7/1=14/3
3. 14/3*27/14=27/3=9

Answer 2

To calculate the expression:

9 1/3 : 7/8 * 7/16 : 14/27

First, let's simplify the fractions:

9 1/3 = 28/3 7/8 = 7/8 7/16 = 7/16 14/27 = 14/27

Now let's perform the multiplication and division:

28/3 : 7/8 * 7/16 : 14/27

To divide fractions, we multiply by the reciprocal (invert and multiply):

28/3 * 8/7 * 16/7 * 27/14

Cancel out common factors between numerators and denominators:

(28 * 8 * 16 * 27) / (3 * 7 * 7 * 14)

Evaluate the numerator and denominator:

(21504) / (2058)

Divide the numerator by the denominator:

21504 / 2058 = 10.4601 (approximately)

Therefore, 9 1/3 : 7/8 * 7/16 : 14/27 is approximately equal to 10.4601.