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# Benchmark Fractions

Directions: Use the digits 1 to 9, no more than once, to create three fractions that are as close to zero, one half and one as possible. NOTE: Close as possible is measured by adding up all the differences and making it the least possible value. ### Hint

What do we know about fractions that are equivalent to one? How could you make a fraction that equals close to one?

Multiple solutions

1/7, 3/6, 8/9
The total difference: 16/63

Source: Darbie Valenti

## Using 1/2 as a Benchmark

Directions: Using the digits 1 through 9 only one time each, fill in the blanks …

1. Would a better answer not be:

1/9, 2/4 (or 3/6), and 7/8

Giving a total difference of 1/9 + 1/8 = 17/72 < 16/63

• James…That is the answer I got as well.

2. Just a thought – given that it says use the digits 1 to 9, I would assume you could use multi-digit numbers.
3/76, 4/8 and 21/19…

I didn’t do the fractions, but the difference is about a tenth less than the previous answer

• Cheryl Canterbury

Perhaps, but you used the digit 1 more than once.