Question

2 2/3•9/16:(11 7/32-10 5/8)•X

Answer 1

11 7/32-10 5/8=1 7/32-20/32=1-13/32=19/32
2 2/3*9/16=8/3*9/16=3/2
3/2:19/32=3/2*32/19=48/19=2 12/19
2 12/19*x=2 12/19x

Answer 2

2 2/3 * 9/16 : (11 7/32 - 10 5/8) * X
8/3 * 9/16 : (359/32 - 85/8) * x
8 * 3/16 : 19/32 * x
8 * 3 * 2/19x
48/19x

Answer 3

To simplify the expression, let's first convert all mixed numbers to improper fractions:

2 2/3 can be written as (2 * 3 + 2) / 3 = 8 / 3 11 7/32 can be written as (11 * 32 + 7) / 32 = 359 / 32 10 5/8 can be written as (10 * 8 + 5) / 8 = 85 / 8

Now the expression becomes:

(8/3) * (9/16) : ((359/32) - (85/8)) * X

Next, we'll perform the operations step by step:

1. Multiply 8/3 by 9/16: (8/3) * (9/16) = (8 * 9) / (3 * 16) = 72 / 48

2. Convert 72/48 to a simplified fraction: 72 / 48 = (72 ÷ 24) / (48 ÷ 24) = 3/2

3. Subtract 85/8 from 359/32: (359/32) - (85/8) = (359 * 8 - 85 * 32) / (32 * 8) = (2872 - 2720) / 256 = 152 / 256

4. Simplify 152/256 to the lowest terms: 152 / 256 = (152 ÷ 8) / (256 ÷ 8) = 19/32

Now the expression becomes:

(3/2) : (19/32) * X

To divide by a fraction, we can multiply by its reciprocal (flipping the numerator and denominator):

(3/2) : (19/32) = (3/2) * (32/19)

Next, we'll perform the multiplication:

(3/2) * (32/19) = (3 * 32) / (2 * 19) = 96 / 38

Now, we'll simplify the fraction:

96 / 38 = (96 ÷ 2) / (38 ÷ 2) = 48 / 19

So the final expression is:

X = 48/19

Therefore, the value of X is 48/19.