SOLUTION: A couch is {{{8&1/2}}} feet long. The material needed to make a slipcover is to be {{{2&1/3}}} times as long to allow for hems and tucking under. How long a piece of material is ne
Question 1523: A couch is feet long. The material needed to make a slipcover is to be times as long to allow for hems and tucking under. How long a piece of material is needed? Found 2 solutions by AnlytcPhil, Robee16:Answer by AnlytcPhil(1806) (Show Source):
You can put this solution on YOUR website! A couch is feet long. The material needed to make a slipcover
is to be times as long to allow for hems and tucking under.
How long a piece of material is needed?
`
The object is to multiply times .
`
Change the mixed number to an improper fraction by the rule:
`
1. Multiply denominator of fraction part times the whole part.
2. Add this result to the numerator of the fraction part.
3. Place this result as a numerator over the same denominator as the
fraction part has.
`
To change to an improper fraction by the rule above:
1. Multiply 3 times 2, getting 6
2. Add 6 to 1, getting 7
3. Write
`
To change to an improper fraction by the rule above:
1. Multiply 2 times 8, getting 16
2. Add 16 to 1, getting 17
3. Write
`
So now the problem
` × becomes
` ×
`
Multiply numerators and denominators to get the numerator and denominator
of the product:
`
`
Now to change this to a mixed number, divide the denominator into the
numerator:
`
` `19
6)119
```6
` `59
` `54
` ` 5
`
Write the quotient 19 as the whole part and put the remainder as the
numerator of the fraction part and the divisor 6 as the denominator of
the fraction part, so the answer is
` feet
`
Edwin
