Question 706890
If the thickness of the pipe wall is {{{3/5}}}inch={{{6/10}}}inch,
we have to add to the inner diameter twice that thickness to get the outside diameter, which is
{{{2&1/10+2*(6/10)}}}inch={{{21/10+12/10)}}}inch={{{33/10)}}}inch
 
For the silk problem, we need to get all those numbers as fractions of a yard,
rather than mixed numbers with mixed units.
6 inches = (1/2) foot and 1 foot = 1/3 yard, so
6 inches = (1/2) of (1/3) of a yard or {{{(1/2)(1/3)=1/6}}} of a yard
3yards 6 inches = 3 yards + 1/6 yard = {{{3&1/6}}}{{{yard =(18/6+1/6)yard=(19/16) yards}}}
Let's add all those yards of fabric:
{{{2&1/2+3&1/6+6&1/3=(4/2+1/2)+(18/6+1/6)+(18/3+1/3)=5/2+19/6+19/3}}}
Now we need a common denominator,
and {{{6}}} is the least common denominator we could use
{{{5/2+19/6+19/3=5*3/2/3+19/6+19*2/3/2=15/6+19/6+38/6=72/6=highlight(12)}}}
It was a total of 12 yards.
 
{{{1&1/2+8&3/4+5&1/8+1&1/4=(2+1/2)+(32+3/4)+(40+1/8)+(4+1/4)=3/2+35/4+41/8+5/4}}}
Now we need a common denominator,
and {{{8}}} is the least common denominator we could use
{{{3/2+35/4+41/8+5/4=3*4/2/4+35*2/4/2+41/8+5*2/4/2=12/8+70/8+41/8+10/8=133/8=16+5/8=16&5/8}}}
I get {{{133/8=16+5/8}}} by dividing 133 by 8. The quotient is 16 whole units and the remainder, {{{5}}}, divided by {{{8}}} is {{{1/8}}}.
 
A piece of metal 3 7/8 inches long is to be cut from a longer piece of 5 1/16 inches. what will be the length of the remaining piece?
{{{5&1/16-3&7/8=(5+1/16)-(3+7/8)=(80/16+1/16)-(24/8+7/8)=81/16-31/8=81/16-31*2/8/2=81/16-62/16=19/16=16/16+3/16=1+3/16=1&1/16}}}
 
add 7 5/8 and 5 5/8.
{{{7&5/8+5&5/8=(7+5/8)+(5+5/8)=12+10/8=12+8/8+2/8=112+1+2/8=13+2/8=13+1/4=13&1/4}}}
then from their sum subtract 11 5/16.
{{{13&1/4=13+1/4=52/4+1/4=53/4}}}
{{{13&1/4-11&5/16=(13+1/4)-(11+5/16)=(52/4+1/4)-(176/16+5/16)=53/4-181/16}}}
Now we need a common denominator,
and {{{16}}} is the least common denominator we could use
{{{53/4-181/16=53*4/4/4-181/16=212/16-181/16=31/16=16/16+15/16=1+15/16=1&15/16}}}
 
15* 4 2/3 Evaluate.
{{{15*4&2/3=15(4+2/3)=15(12/3+2/3)=15*(14/3)=15*14/3=3*5*14/3=(3/3)(5*14/1)=1*70=70}}}