1.6E: Mazoezi
- Page ID
- 178014
Mazoezi hufanya kamili
Pata FRACTIONS sawa
Katika mazoezi yafuatayo, pata sehemu tatu sawa na sehemu iliyotolewa. Onyesha kazi yako, kwa kutumia takwimu au algebra.
\(\dfrac{3}{8}\)
- Jibu
-
\(\dfrac{6}{16}\),\(\dfrac{9}{24}\)\(\dfrac{12}{32}\), majibu yanaweza kutofautiana
\(\dfrac{5}{8}\)
\(\dfrac{5}{9}\)
- Jibu
-
\(\dfrac{10}{18}\),\(\dfrac{15}{27}\)\(\dfrac{20}{36}\), majibu yanaweza kutofautiana
\(\dfrac{1}{8}\)
Kurahisisha Fractions
Katika mazoezi yafuatayo, kurahisisha.
\(-\dfrac{40}{88}\)
- Jibu
-
\(-\dfrac{5}{11}\)
\(-\dfrac{63}{99}\)
\(-\dfrac{108}{63}\)
- Jibu
-
\(-\dfrac{12}{7}\)
\(-\dfrac{104}{48}\)
\(\dfrac{120}{252}\)
- Jibu
-
\(\dfrac{10}{21}\)
\(\dfrac{182}{294}\)
\(-\dfrac{3x}{12y}\)
- Jibu
-
\(-\dfrac{x}{4y}\)
\(-\dfrac{4x}{32y}\)
\(\dfrac{14x^{2}}{21y}\)
- Jibu
-
\(\dfrac{2x^{2}}{3y}\)
\(\dfrac{24a}{32b^{2}}\)
Kuzidisha vipande
Katika mazoezi yafuatayo, ongeze.
\(\dfrac{3}{4}\cdot \dfrac{9}{10}\)
- Jibu
-
\(\dfrac{27}{40}\)
\(\dfrac{4}{5}\cdot \dfrac{2}{7}\)
\(-\dfrac{2}{3}\cdot -\dfrac{3}{8}\)
- Jibu
-
\(\dfrac{1}{4}\)
\(-\dfrac{3}{4}\left(-\dfrac{4}{9}\right)\)
\(-\dfrac{5}{9}\cdot \dfrac{3}{10}\)
- Jibu
-
\(-\dfrac{1}{6}\)
\(-\dfrac{3}{8}\cdot \dfrac{4}{15}\)
\(\left(-\dfrac{14}{15}\right)\left(\dfrac{9}{20}\right)\)
- Jibu
-
\(-\dfrac{21}{50}\)
\(\left(-\dfrac{9}{10}\right)\left(\dfrac{25}{33}\right)\)
\(\left(-\dfrac{63}{84}\right)\left(-\dfrac{44}{90}\right)\)
- Jibu
-
\(\dfrac{11}{30}\)
\(\left(-\dfrac{63}{60}\right)\left(-\dfrac{40}{88}\right)\)
\(4\cdot \dfrac{5}{11}\)
- Jibu
-
\(\dfrac{20}{11}\)
\(5\cdot \dfrac{8}{3}\)
\(\dfrac{3}{7}\cdot 21n\)
- Jibu
-
9n
\(\dfrac{5}{6}\cdot 30m\)
\(-8\cdot\dfrac{17}{4}\)
- Jibu
-
-34
\((-1)\left(-\dfrac{6}{7}\right)\)
Gawanya FRACTIONS
Katika mazoezi yafuatayo, ugawanye.
\(\dfrac{3}{4}\div \dfrac{2}{3}\)
- Jibu
-
\(\dfrac{9}{8}\)
\(\dfrac{4}{5}\div \dfrac{3}{4}\)
\(-\dfrac{7}{9}\div \left(-\dfrac{7}{4}\right)\)
- Jibu
-
1
\(-\dfrac{5}{6}\div \left(-\dfrac{5}{6}\right)\)
\(\dfrac{3}{4}\div \dfrac{x}{11}\)
- Jibu
-
\(\dfrac{33}{4x}\)
\(\dfrac{2}{5}\div \dfrac{y}{9}\)
\(\dfrac{5}{18}\div -\dfrac{15}{24}\)
- Jibu
-
\(-\dfrac{4}{9}\)
\(\dfrac{7}{18}\div \left(-\dfrac{14}{27}\right)\)
\(\dfrac{8u}{15} \div \dfrac{12v}{25}\)
- Jibu
-
\(\dfrac{10u}{9v}\)
\(\dfrac{12r}{25}\div \dfrac{18s}{35}\)
\(-5\div \dfrac{1}{2}\)
- Jibu
-
-10
\(-3\div \dfrac{1}{4}\)
\(\dfrac{3}{4}\div (-12)\)
- Jibu
-
\(\dfrac{1}{16}\)
\(-15\div -\dfrac{5}{3}\)
Katika mazoezi yafuatayo, kurahisisha.
\(\dfrac{-\dfrac{8}{21}}{\dfrac{12}{35}}\)
- Jibu
-
\(-\dfrac{10}{9}\)
\(\dfrac{-\dfrac{9}{16}}{\dfrac{33}{40}}\)
\(\dfrac{-\dfrac{4}{5}}{2}\)
- Jibu
-
\(-\dfrac{2}{5}\)
\(\dfrac{5}{\dfrac{3}{10}}\)
\(\dfrac{\dfrac{m}{3}}{\dfrac{n}{2}}\)
- Jibu
-
\(\dfrac{2m}{3n}\)
\(\dfrac{-\dfrac{3}{8}}{-\dfrac{y}{12}}\)
Kurahisisha Maneno Imeandikwa na Bar Sehemu
Katika mazoezi yafuatayo, kurahisisha.
\(\dfrac{22 + 3}{10}\)
- Jibu
-
\(\dfrac{5}{2}\)
\(\dfrac{19 - 4}{6}\)
\(\dfrac{48}{24 - 15}\)
- Jibu
-
\(\dfrac{16}{3}\)
\(\dfrac{46}{4 + 4}\)
\(\dfrac{-6 + 6}{8 + 4}\)
- Jibu
-
0
\(\dfrac{-6 + 3}{17 - 8}\)
\(\dfrac{4\cdot 3}{6\cdot 6}\)
- Jibu
-
\(\dfrac{1}{3}\)
\(\dfrac{6\cdot 6}{9\cdot 2}\)
\(\dfrac{4^{2} - 1}{25}\)
- Jibu
-
\(\dfrac{3}{5}\)
\(\dfrac{7^{2} + 1}{60}\)
\(\dfrac{8\cdot 3 + 2\cdot 9}{14 + 3}\)
- Jibu
-
\(2\dfrac{8}{17}\)
\(\dfrac{9\cdot 6 - 4\cdot 7}{22 + 3}\)
\(\dfrac{5\cdot 6 - 3\cdot 4}{4\cdot 5 -2\cdot 3}\)
- Jibu
-
\(\dfrac{9}{7}\)
\(\dfrac{8\cdot 9 - 7\cdot 6}{5\cdot 6 - 9\cdot 2}\)
\(\dfrac{5^{2} - 3^{2}}{3 - 5}\)
- Jibu
-
\(-8\)
\(\dfrac{6^{2} - 4^{2}}{4 - 6}\)
\(\dfrac{7\cdot 4 - 2(8 - 5)}{9\cdot 3 - 3\cdot 5}\)
- Jibu
-
\(\dfrac{11}{6}\)
\(\dfrac{9\cdot 7 - 3(12- 8)}{8\cdot 7- 6\cdot 6}\)
\(\dfrac{9(8-2)-3(15-7)}{6(7-1) - 3(17-9)}\)
- Jibu
-
\(\dfrac{5}{2}\)
\(\dfrac{8(9-2) - 4(14 - 9)}{7(8-3)-3(16 -9)}\)
Tafsiri Maneno kwa Maneno na sehemu ndogo
Katika mazoezi yafuatayo, tafsiri kila maneno ya Kiingereza katika kujieleza kwa algebraic.
quotient ya\(r\) na jumla ya\(s\) na\(10\)
- Jibu
-
\(\dfrac{r}{s + 10}\)
quotient ya\(A\) na tofauti ya\(3\) na\(B\)
quotient ya tofauti ya\(x\) na\(y\), na\(−3\)
- Jibu
-
\(\dfrac{x - y}{-3}\)
quotient ya jumla ya\(m\) na\(n\), na\(4q\)
kila siku Math
Kuoka. Kichocheo cha vidakuzi vya chip chokoleti\(\frac{3}{4}\) huita sukari ya kahawia Imelda anataka mara mbili mapishi.
- Ni kiasi gani cha sukari ya kahawia ambayo Imelda itahitaji? Onyesha hesabu yako.
- Kupima vikombe kawaida kuja katika seti ya\(\frac{1}{4}\),\(\frac{1}{3}\),\(\frac{1}{2}\), na\(1\) kikombe. Chora mchoro kuonyesha njia mbili tofauti ambazo Imelda angeweza kupima sukari ya kahawia inayohitajika ili kurudisha mapishi ya kuki mara mbili.
- Jibu
-
- \(1\frac{1}{2}\)vikombe
- majibu yatatofautiana
Kuoka. Nina ni kufanya 4 sufuria ya fudge kutumikia baada ya recital muziki. Kwa kila sufuria, anahitaji\(\frac{2}{3}\) kikombe cha maziwa yaliyopunguzwa.
- Ni kiasi gani cha maziwa kilichopunguzwa ambacho Nina atahitaji? Onyesha hesabu yako.
- Kupima vikombe kawaida kuja katika seti ya\(\frac{1}{4}\),\(\frac{1}{3}\),\(\frac{1}{2}\), na\(1\) kikombe. Chora mchoro ili kuonyesha njia mbili tofauti ambazo Nina angeweza kupima maziwa yaliyohifadhiwa yanahitajika kwa\(4\) sufuria za fudge.
Sehemu Don kununuliwa mfuko wingi wa pipi kwamba\(5\) weighs paundi. Anataka kuuza pipi katika mifuko kidogo kwamba kushikilia\(\frac{1}{4}\) pauni. Ni mifuko ngapi ndogo ya pipi anaweza kujaza kutoka kwenye mfuko wa wingi?
- Jibu
-
\(20\)mifuko
Sehemu Kristen ina\(\frac{3}{4}\) yadi ya Ribbon ambayo anataka kukata katika sehemu\(6\) sawa kufanya ribbons nywele kwa\(6\) dolls binti yake. Je! Ribbon ya nywele za kila doll itakuwa muda gani?
Mazoezi ya kuandika
Rafael alitaka kuagiza pizza nusu ya kati kwenye mgahawa. Mhudumu alimwambia kuwa pizza ya kati inaweza kukatwa\(6\) au\(8\) vipande. Je, angependa\(3\) nje ya\(6\) vipande au\(4\) nje ya\(8\) vipande? Rafael alijibu kwamba kwa kuwa hakuwa na njaa sana, angependelea\(3\) nje ya\(6\) vipande. Eleza ni nini kibaya na mawazo ya Rafael.
- Jibu
-
Majibu inaweza kutofautiana
Kutoa mfano kutoka kwa maisha ya kila siku ambayo inaonyesha jinsi\(\dfrac{1}{2}\cdot \dfrac{2}{3}\) gani\(\dfrac{1}{3}\).
Eleza jinsi unavyopata usawa wa sehemu.
- Jibu
-
Majibu inaweza kutofautiana
Eleza jinsi unavyopata usawa wa nambari hasi.
Self Check
ⓐ Baada ya kukamilisha mazoezi, tumia orodha hii ili kutathmini ujuzi wako wa malengo ya sehemu hii.
ⓑ Baada ya kuangalia orodha, unafikiri umeandaliwa vizuri kwa sehemu inayofuata? Kwa nini au kwa nini?