Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]
Result: [tex]\dfrac{17}{2}[/tex]
Step-by-step explanation:
Given phrase: [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]
Required expression: [tex]\dfrac14\times(18+16)[/tex] ['+' used to express sum, 'x' used in place of 'of']
Since 18+16 = 34
Then,
[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]
Hence, [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]
