Question

6x ( 2/3 divided by 2)+ 0.5

Answer 1

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

Answer 2

2.5

Explanation:

Given expression:

`6 * \left((2)/(3) / 2\right)+0.5`

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

`\implies 6 * \left((2)/(3) / (2)/(1)\right)+0.5`

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

`\implies 6 * \left((2)/(3) * (1)/(2)\right)+0.5`

`\implies 6 * \left((2 * 1)/(3*2)\right)+0.5`

`\implies 6 * \left((2)/(6)\right)+0.5`

`\implies 6 * (2)/(6)+0.5`

Now carry out the multiplication:

`\implies (6 *2)/(6)+0.5`

`\implies (\diagup\!\!\!\!6 *2)/(\diagup\!\!\!\!6)+0.5`

`\implies 2+0.5`

Finally carry out the addition:

`\implies 2.5`