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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 :

semsee45

Answer:

b)  The mixed number seven and three fourths inches.

Step-by-step 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:

[tex]\implies \sf Total\;length=6\frac{3}{4}+\dfrac{1}{2}+\dfrac{1}{2}[/tex]

Two halves equal 1:

[tex]\implies \sf Total\;length= 6\frac{3}{4}+1[/tex]

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

[tex]\implies \sf Total\;length= (6+1)\frac{3}{4}[/tex]

[tex]\implies \sf Total\;length= 7\frac{3}{4}[/tex]

Therefore, the total length of the wood required is:

  • 7³/₄ inches

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