Question

What number is missing if this expression is equal to 16?

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x = 4}`

Explanation:

→ We want to solve this equation:

`\sf( 8 + x)/((3)/(4) ) = 16`

→ We have this forumla to divide two fractions:

To divide two fractions is to multiply the first by the inverse of the seconde.

◼ Apply this formula with left side:

`\sf ( 8 + x) * (4)/(3) } = 16`

◼ Simplify the left side:

`\sf (4( 8 + x))/(3) } = 16`

`\sf (32 + 4x)/(3) } = 16`

◼ Multiply both sides by 3:

`\sf (32 + 4x)/(3) } *3= 16*3`

◼ Simplify both sides:

`\sf 32 + 4x= 48`

◼ Subtract 32 from both sides:

`\sf 32 + 4x-32= 48-32`

◼ Simplify both sides:

`\sf 4x= 16`

◼ Divide both sides by 4:

`\sf (4x)/(4) = (16)/(4)`

◼ Simplify both sides:

`\boxed{\sf x = 4}`

Conclusion:

The missing number in this expression that equals 16 is 4.

Answer 2

? = 4

Explanation:

rewrite the expression as an equation , that is

`(8+?)/((3)/(4) )` = 16

multiply both sides by
`(3)/(4)` to clear the denominator on the left side

8 + ? =
`(3)/(4)` × 16 = 3 × 4 = 12 ( subtract 8 from both sides )

? = 12 - 8 = 4