Question

(2/3 - 1/9) x 4^3 - 5/9=

Answer 1

`\( (2)/(3) - (1)/(9) * 4^3 - (5)/(9) \)` is equal to
`\( (105)/(3) \), or \( 35 \).`

How did we get the value?

Let's solve the expression:

1.
`\( (2)/(3) - (1)/(9) \)`

To subtract these fractions, find a common denominator, which is 9 in this case:

`\( (6)/(9) - (1)/(9) = (5)/(9) \)`

2. Multiply the result by
`\( 4^3 \) (which is \( 4 * 4 * 4 = 64 \))`:

`\( (5)/(9) * 64 = (320)/(9) \)`

3. Subtract
`\( (5)/(9) \)` from the above result:

`\( (320)/(9) - (5)/(9) \)`

To subtract, use the common denominator of 9:

`\( (320 - 5)/(9) = (315)/(9) \)`

4. Simplify the fraction:

`\( (315)/(9) \)` can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

`\( (315 ÷ 3)/(9 ÷ 3) = (105)/(3) \)`

So,
`\( (2)/(3) - (1)/(9) * 4^3 - (5)/(9) \)` is equal to
`\( (105)/(3) \), or \( 35 \).`