Elementary arithmetic, with brief notices of its history... by Robert Potts.

14
common denominator: and express the difference of the first two as a
fraction of the difference of the second two.
5. Acdd together -1, 7y, and -19-, and find what is the least fraction with denominator 1000, which must be added in order that the
sum may be greater than unity.
6. Show that the sum of -- and -4 is 13 times their difference.
7. What fraction subtracted fiom the sum of - and -C- will have
unity for the remainder?
8. Subtract the sum of 6 of a, 4f, and I of 1- from 12.
9. By how much does the sum of 1!,- and 9- exceed the difference 9 What fraction of 7 is the excess?
10. What is that number of which the sum of one-third, onelourth, and one-fifth, is equal to 235?
11. Subtract 21- four times from -1- O7 and state how many times
it may be subtracted, and what is the last remainder.
12. Find three fractions whose numerators shall be 3, 5, 7 respectively, and their sum equal to unity.
X.
1. Show that the quotient of -- divided by -, is 9 times their product.
2. What is the difference and the product of the quotients of -
divided by -, and 4 divided by 3?
3. What fraction divided by - of -- of 1- will give the quotient
unity?
4. What fraction multiplied by, of -f will make the product equal
to 2?
5. How often does -r of the sum of -r d and li diminished by 3-f
contain A-?
6. Multiply the sum of - and y- by their difference, and find how
much the product is less than unity.
7. Find the product and the quotient of the sum of -- and 5 and the
difference of unity andl -l-: and ascertain which result is the greater.
8. What is the quotient which arises from dividing the difference
between the first and second, by the sum of the second and third of the
fractions -i, 1 —, o.
9. The sum of 2- and 4- is diminished by -!-; how often does the. Tes 1o
difference contain -y of the sum of -1, - and 1?
10. Add together -, -, -- and -, and subtract the sum from 2,.
multiply the difference by 5- of 2- of 88, and find what fraction the
product is of 999.
11. From the sum of 3 - and 4X subtract 6~, multiply the difference
by 2-~, and divide the product by 4-.
12. Convert 1-3 — into a continued fraction, and find the first six
converging fractions.