Question

The length of the picture is mixed number six and three fourths inches. There should be a length of fraction one half inch of wood on either side of the picture. What is the total length of wood required? a 7 inches b the mixed number seven and three fourths inches c 8 inches d the mixed number eight and one half inches

Answer 1

b) The mixed number seven and three fourths inches.

Explanation:

Given:

• Length of picture = 6³/₄ in
• Margin either side of the picture = ¹/₂ in

To find the total length of the wood, sum the length of the picture and two margins:

`\implies \sf Total\;length=6(3)/(4)+(1)/(2)+(1)/(2)`

Two halves equal 1:

`\implies \sf Total\;length= 6(3)/(4)+1`

When adding a mixed number to a whole number, simply add the whole numbers together:

`\implies \sf Total\;length= (6+1)(3)/(4)`

`\implies \sf Total\;length= 7(3)/(4)`

Therefore, the total length of the wood required is:

• 7³/₄ inches