Jack needs a piece of wood at least 13/16 inch long for some detail work on a project he is working on. Which of the following lengths of wood would meet his requirements?
a 1/2 inch
b 7/8 inch
c 3/4 inch
d 27/32 inch
e 5/8 inch
f 1/4 inch
How do I solve this problem?
Which of the fractions are larger than 13/16.
There are two ways to solve this problem. You can either change all of the fractions to decimals by dividing the numerator by the denominator or by changing all of the fractions to equivalent fractions with a common denominator. I find that working with fractions is messy, and I don't like messes.
13/16 = 0.8125
You need a piece that is more than 0.8125 inch.
It's obvious that only two of your choices are larger than that.
Do you see them?
yes
7/8 and 27/32
Yes! :-)
Hghgg
what is 3 5/8 increased by one inch
To solve this problem, we need to compare the given lengths of wood with the minimum requirement of Jack, which is at least 13/16 inches long.
To compare fractions, it is helpful to have a common denominator. In this case, we'll convert all the fractions to have a denominator of 16 since 16 is a multiple of each denominator for the given lengths.
Here are the lengths of wood with a common denominator:
a) 1/2 inch = 8/16 inch
b) 7/8 inch = 14/16 inch
c) 3/4 inch = 12/16 inch
d) 27/32 inch = 27/32 inch
e) 5/8 inch = 10/16 inch
f) 1/4 inch = 4/16 inch
Now, we can compare these lengths to the minimum requirement of 13/16 inch.
The only length that is equal to or longer than 13/16 inch is d) 27/32 inch.
Therefore, the correct answer is d) 27/32 inch.