EXAMPLES. 1. Reduce of a L. fterling to its proper quantity z. What is the value of of a £. fterling? Anf. 78. 6d. 3. Find the value of of of of a guinea? Anf. 35. 6d. 4. Reduce of 28. 5d. to its proper quantity. d. Anf. 18. 3 of of of a moidore? Anf. 24d. of a lb. troy? T Anf. 7 ozs. 4dwts. avoirdupoife to its proper Anf. 1 lb. 5 ozs. 13 dms. of of a ton? Anf. 4 cwts. I qr. 14 lbs. 9. What: 8. Required the value of T3 9. What is the value of 10. Find the value of of a ton of wine? Anf. 2 hhds. 31 gs, 2 qts. of a hhd. of ale. Anf. 6 gs. 3 pts. 11. What is the proper quantity of 337 of an acre? Anf. 2 rs. 1417 ps. 12. Reduce of of an ell English to its proper quantity. Anf. I qr. In. 13. Find the value of 5 of a quarter of corn. Anf. 4 bls. 1 pk. 1 gn. 2 14. I demand the value of 3 of 5 of a week? qts. Anf. 2 ds. 8 hs. Anf. 2 ws. 6 ds. ΧΙ. 15. What is the value of of a month? CASE To reduce money, weights or measures to fractions. R U L E. Bring the given denomination into the loweft name mentioned for a numerator, and the fpecified integer into the fame name for a denominator. Then, reduce the fraction to its loweft terms for the answer. 1. Reduce 38. 91d. to the fraction of a pound. 2. Reduce 84d. to the fraction of a fhilling. Auf. 3. Reduce 8s. 2d. to the fraction of a guinea. Anf. 4. What part of 51. 9s. od. is 41. 13s. 54d. Anf. 9. 5. Reduce 4 oz.S. 11 dwts. 17 gs. to the fraction of a pound troy. Anf. 8. Anf.. 6. What fraction of a ftone is 8 lbs. ? 2201 7. Reduce 17 lbs. 10 ozs. II dms. to the fraction of Anf. 4. a cwt. 4523 8. Reduce 2 ft. 8 ins. b. c. to the fraction of a Anf. To yard. 9. Reduce 3 qrs.to the fraction of an ell English. Anf.. Anf. 10. A perfon bought 2 rs. 11 ps. of land; what part. of an acre is that? 11. Reduce 2 hhds. 45 gs. of wine to the fraction of Anf.. a ton. 12. Reduce 131 bls. of coals to the fraction of a chaldron. Anf.. 13. What fraction of a month is I wk. 3 ds. 12 hs.? Anf.. ADDITION of VULGAR FRACTIONS. R U L E. Reduce compound fractions to fingle ones, mixed numbers to improper fractions, and fractions of different denominations to the fame denomination. Then, reduce them to a common denominator, add all the new numerators together, and under their fum write the common denominator. Bring this laft fraction to its lowest terms, to a mixed number, or to its proper quantity for the answer. NOTE. NOT E. rft. In adding mixed numbers, it will fhorten the operation if you only reduce the fractional parts to a common denominator, and add the integers feparately. 2d. When the fractions are of feveral denominations, it will frequently be found the eafieft method to reduce them to their proper quantities, and then add them as in Addition of compound quantities. 2. Required the fum of, 4 and ?-Anf. 51. 3. Add together of and of 7. 4. Add 1, 4, 4 and of 5. What is the fum of, 6. Add 7, 94 and 6 Anf. 159 Anf. 4. into one fum. together. Anf. 10. Anf. 243. 7. Add of a pound and of a fhilling together. Anf. 13s. 4 d. 8. What is the fum. of 1. s. and d.? 9. Required the fum of pound? 10. Add of a lb. troy to Anf. 38. 14 d. of a guinea, and of a Anf. 13. or il. is. 6d. of an ounce. Anf. 6 ozs. 11.dts. 16 grs. of lb. together. Anf. 2.qrs. 5 lbs. 153 ozs.. yd. and foot. Anf. 7 fgs. 2 ft. 7 ins.. 11. Add & cwt., 7 qr.. and 12. Find the sum of mile, 13. Add of a chaldron to 7 of a bl. Anf. 16 bls. 3 pks.. The fractions being prepared as directed in addition the difference of the new numerators written above the common denominator will give the difference of the fractions required.. NOTE. It will often be very convenient to reduce fractions of different denominations to their proper quantities before fubtraction is made. |