Question

10 three views of a machined part are drawn by a drafter as shown in figure 2 - 17 on page 51. a 2\frac{1}{2}-inch margin from each of the 4 edges of the sheet of paper is allowed. a. find, in inches, the distance from the left edge of the sheet to the right edge of the right side view (distance x). b. find, in inches, the distance from the bottom of the sheet to the top edge of the top view (distance y). unit 2 · common fractions 51 distance y margin margin distance x

Explanation:

Step1: Calculate distance X

We need to sum up the left - hand margin, the horizontal lengths between views and the width of the right - side view. The left - hand margin is $2\frac{1}{2}$ inches. The horizontal lengths between views and the width of the right - side view are $1\frac{9}{16}+3\frac{13}{32}+1\frac{63}{64}+2 + 3\frac{1}{2}$. First, convert all mixed numbers to improper fractions: $2\frac{1}{2}=\frac{5}{2}$, $1\frac{9}{16}=\frac{25}{16}$, $3\frac{13}{32}=\frac{109}{32}$, $1\frac{63}{64}=\frac{127}{64}$, $2=\frac{128}{64}$, $3\frac{1}{2}=\frac{7}{2}=\frac{224}{64}$. Then find a common denominator of 64. $\frac{25}{16}=\frac{100}{64}$, $\frac{109}{32}=\frac{218}{64}$. Now sum them up: $\frac{100 + 218+127+128+224}{64}=\frac{797}{64}$. And $\frac{5}{2}=\frac{160}{64}$. So $X=\frac{160}{64}+\frac{797}{64}=\frac{957}{64}=14\frac{61}{64}$ inches.

Step2: Calculate distance Y

We sum up the bottom - hand margin, the vertical lengths between views and the height of the top - view. The bottom - hand margin is $2\frac{1}{2}$ inches. The vertical lengths between views and the height of the top - view are $1\frac{17}{32}+2\frac{5}{16}+2+3\frac{3}{64}+\frac{29}{64}$. Convert to improper fractions: $2\frac{1}{2}=\frac{5}{2}=\frac{160}{64}$, $1\frac{17}{32}=\frac{49}{32}=\frac{98}{64}$, $2\frac{5}{16}=\frac{37}{16}=\frac{148}{64}$, $2=\frac{128}{64}$, $3\frac{3}{64}=\frac{195}{64}$. Now sum them up: $\frac{98+148 + 128+195+29}{64}=\frac{598}{64}$. So $Y=\frac{160}{64}+\frac{598}{64}=\frac{758}{64}=11\frac{54}{64}=11\frac{27}{32}$ inches.

Answer:

a. $14\frac{61}{64}$ inches
b. $11\frac{27}{32}$ inches