You hold a tape measure along the width of a picture frame. One end of the frame is 2 3/4 inches and the other end is at 10 7/16 inches. How wide is the frame in between

Respuesta :

Answer:

Width = [tex]7\frac{11}{16}[/tex] inches

Step-by-step explanation:

Given

[tex]End_1 = 2\frac{3}{4}[/tex]

[tex]End_2 = 10\frac{7}{16}[/tex]

Required

Determine the width of frame in between

To do this, we simply calculate the difference between both ends:

i.e.

[tex]Difference = End_2 - End_1[/tex]

This gives:

[tex]Difference = 10\frac{7}{16} - 2\frac{3}{4}[/tex]

Convert to improper number

[tex]Difference = \frac{167}{16} - \frac{11}{4}[/tex]

Take LCM

[tex]Difference = \frac{167 - 44}{16}[/tex]

[tex]Difference = \frac{123}{16}[/tex]

[tex]Difference = 7\frac{11}{16}[/tex]

Hence, the width of the frame is [tex]7\frac{11}{16}[/tex] inches

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