G’iyosova Zebo Toshbo’lovna jdpi matematika o’qitish metodikasi kafedrasi o’qituvchisi

Davriy kasrni oddiy kasrga aylantirish usullari.
G’iyosova Zebo Toshbo’lovna
JDPI matematika o’qitish metodikasi kafedrasi o’qituvchisi,
Xayrullayev Murod Narzulla o’g’li
JDPI 4-bosqich talabasi
Annatasiya: Ushbu maqolada o‘nli kasrlar ustida bajariladigan to‘rt amal va ularning xossalari haqida ma’lumotlar, o‘nli kasrni oddiy kasrga aylantirish va aksincha, oddiy kasrni o‘nli kasr shaklida ifodalash, o‘nli kasrning masalalar yechishga tadbiqi xususida ma’lumotlar keltirilgan.
AiniOTaumi: B otoh CTaTte npegcTaBnena HH^opMauua o ueTBipex onepauuax c gecflTHHHBiMH HHcnaMH h hx CBOHCTBax, o tom, KaK npeodpaaoBaTB gecaTHHHyrn gpodb b iipocryio gpodb h HaodopoT, KaK BbipaaHTb npocryio gpodb b ^opMe gecaTHHHOH gpodn, a TaK^e o npHMeHeHHH .'ie'oiTH'inbix gpodefi gna pemeHHa 3agau .'iannbie iipnBe'/ie'iibi.
Abstrakt: This article provides information on the four operations on decimals and their properties,convert a decimal to a common fraction and vice versa to express a simple fraction as a decimal,information on the application of decimal fractions to problem solving.
Kalit so’zlar: geometrik progressiya, sof davriy kasrlar, davriy kasr,
aralash davriy kasr.
K.noⁱieBbie c.iOBa: reoMeTpHnecKaa nporpeccna, 'incrbie npnogHHecKHe gpodn, npHogHHecKaa gpodb, cMemaHHaa nepHogHHecKaa gpodb.
Key words: geometric progression, pure periodic fractions, periodic fraction,
mixed periodic fraction.
Davriy kasrni oddiy kasrga aylantirishga zarurat amaliyotda ko‘p uchraydi. Quyida davriy kasrlarni oddiy kasrlarga aylantirishning bir necha usullari bilan tanishamiz. Bu usullarning asosi deyarli bir holatga, ya’ni 9 - sinfda o‘qitiladigan «Cheksiz kamayuvchi geometrikprogressiya hadlariningyig‘indisi» mavzusiga asoslanadi.
S = —— bu cheksiz kamayuvchi geometrik progressiyaning yig'indisini topish formulasi
Bunda:
bi - cheksiz kamayuvchi geometrikprogressiyaning birinchi hadi;
q - cheksiz kamayuvchi geometrikprogressiyaning maxjari deb ataladi.
Sof davriy kasrlarni oddiy kasr shaklida ifodalash:
Masalan: 0,888...; 0,777.. ,;1,333.. ,ko‘rinishidagi davriy kasrlarni oddiy kasrga aylantiring.
1 - usul:

1. 
   0,888.= 0,(8) demakdir.
   

1
7 ⁼ 7T ga teng bo'ladi.
Endi berilgan
S=— formula yordamida hisoblaymiz: