Txhawm rau ntxiv lossis rho tawm cov zauv nrog cov lej sib txawv (tus lej hauv qab), koj yuav tsum xub pom tus lej tsawg tshaj plaws ntawm txhua feem sib faib. Tus nqi no yog qhov tsawg tshaj plaws ntawm txhua tus lej, lossis tus lej me tshaj uas tuaj yeem faib los ntawm txhua tus lej. Koj kuj tseem tuaj yeem hla lub sij hawm tsawg tshaj plaws. Txawm hais tias lo lus feem ntau hais txog cov lej, txoj hauv kev los nrhiav lawv yog qhov qub. Kev txiav txim siab qhov tsawg tshaj plaws ntawm cov denominator tso cai rau koj los hloov tag nrho cov denominators hauv qhov feem rau tib tus lej kom lawv tuaj yeem sib ntxiv lossis rho tawm ib leeg.
Kauj ruam
Txoj Kev 1 ntawm 4: Sib Sau Ua Ke Cov Npe
Kauj Ruam 1. Sau cov zauv ntawm txhua tus lej sib faib
Sau cov zauv ntawm txhua tus lej hauv qhov teeb meem. Txhua daim ntawv yuav tsum suav nrog qhov tshwm sim ntawm kev sib faib cov lej los ntawm tus lej 1, 2, 3, 4, thiab ntxiv rau.
- Piv txwv: 1/2 + 1/3 + 1/5
- Zauv ntawm tus lej 2: 2 * 1 = 2; 2 * 2 = 4; 2 * 3 = 6; 2 * 4 = 8; 2 * 5 = 10; 2 * 6 = 12; 2 * 7 = 14; lwm yam.
- Ntau ntawm 3: 3 * 1 = 3; 3 * 2 = 6; 3 *3 = 9; 3 * 4 = 12; 3 * 5 = 15; 3 * 6 = 18; 3 * 7 = 21; lwm yam.
- Zauv ntawm tus lej 5: 5 * 1 = 5; 5 * 2 = 10; 5 * 3 = 15; 5 * 4 = 20; 5 * 5 = 25; 5 * 6 = 30; 5 * 7 = 35; lwm yam.
Kauj Ruam 2. Nrhiav qhov tsawg tshaj plaws ntawm tib tus lej
Saib ntawm txhua daim ntawv ntawm cov lej ntawm cov lej thiab kos txhua tus lej uas yog rau tag nrho peb qho. Tom qab nrhiav cov lej sib faib, txiav txim siab qhov tsawg tshaj plaws sib faib.
- Nco ntsoov tias yog tias tsis muaj cov lej sib xyaw hauv cov npe, koj yuav tsum sau cov lej ntawm cov lej kom txog thaum koj tau txais tus lej qub.
- Txoj hauv kev no siv tau yooj yim dua yog tias tus lej hauv tus lej me me.
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Hauv qhov ua piv txwv saum toj no, tag nrho peb tus lej muaj ntau yam tib yam, uas yog 30: 2 * 15 =
Kauj ruam 30.; 3 * 10
Kauj ruam 30.; 5 * 6
Kauj ruam 30.
- Yog li, qhov tsawg tshaj plaws sib faib = 30
Kauj Ruam 3. Sau cov lus nug dua
Txhawm rau hloov pauv txhua feem mus rau qhov feem tshiab nrog qhov sib npaug sib npaug, koj yuav tsum suav txhua tus lej (tus lej nyob rau sab saum toj ntawm cov feem) thiab cov lej los ntawm tib qhov sib xws kom tau txais cov lej me me sib npaug.
- Piv txwv: (15/15) * (1/2); (10/10) * (1/3); (6/6) * (1/5)
- Qhov sib npaug tshiab: 15/30 + 10/30 + 6/30
Kauj Ruam 4. Ua kom tiav qhov teeb meem rov sau dua tshiab
Thaum koj tau pom qhov tsawg tshaj plaws sib faib thiab hloov pauv feem raws, koj yuav tsum muaj peev xwm daws qhov teeb meem yooj yim. Nco ntsoov ua kom yooj yim rau koj qhov kev suav zaum kawg.
Piv txwv: 15/30 + 10/30 + 6/30 = 31/30 = 1 1/30
Txoj Kev 2 ntawm 4: Siv Qhov Zoo Tshaj Plaws
Kauj Ruam 1. Sau txhua yam tseem ceeb ntawm txhua tus lej
Ib qho tseem ceeb yog tus lej uas tau faib sib npaug los ntawm ib tus lej. Tus lej 6 muaj plaub yam tseem ceeb: 6, 3, 2, thiab 1. Txhua tus lej muaj 1 yog tus lej vim tias txhua tus lej tuaj yeem muab sib npaug 1.
- Piv txwv: 3/8 + 5/12.
- Cov lej ntawm tus lej 8: 1, 2, 4, thiab 8
- Cov lej ntawm tus lej 12: 1, 2, 3, 4, 6, 12
Kauj Ruam 2. Txiav txim siab qhov tseem ceeb tshaj plaws ntawm ob qho lej
Tom qab teev cov xwm txheej ntawm txhua tus lej, ncig txhua qhov txiaj ntsig uas zoo ib yam hauv ob qho tib si. Qhov txiaj ntsig zoo tshaj plaws yog qhov zoo tshaj plaws (GCF) uas yuav siv los daws qhov teeb meem.
- Hauv qhov piv txwv ntawm no, 8 thiab 12 muaj tib yam peb yam: 1, 2, thiab 4.
- Qhov loj tshaj plaws yog 4.
Kauj Ruam 3. Muab txhua tus lej sib faib
Ua ntej siv qhov tseem ceeb tshaj plaws los daws qhov teeb meem, koj yuav tsum xub muab ob tus lej sib npaug ua ntej.
Txuas ntxiv qhov teeb meem: 8 * 12 = 96
Kauj Ruam 4. Muab cov khoom faib los ntawm GCF
Thaum koj tau pom cov khoom lag luam ntawm cov lej, faib tus lej ntawd los ntawm GCF uas koj paub ua ntej. Qhov tshwm sim ntawm kev faib tawm yog qhov tsawg tshaj plaws sib faib.
Piv txwv: 96 /4 = 24
Kauj Ruam 5. Faib tus faib me me tshaj plaws uas yog tib yam li tus lej sib npaug hauv qhov teeb meem
Txhawm rau nrhiav tus lej sib npaug sib npaug, faib cov feem me me tshaj plaws uas zoo ib yam li tus lej qub. Muab tus zauv sib faib thiab faib ua ob feem faib los ntawm tus lej ntawd. Ob qho denominators yuav tsum tam sim no yog sib npaug rau tus nqi ntawm qhov tsawg tshaj plaws sib faib.
- Piv txwv: 24 /8 = 3; 24/12 = 2
- (3/3) * (3/8) = 9/24; (2/2) * (5/12) = 10/24
- 9/24 + 10/24
Kauj Ruam 6. Ua kom tiav qhov teeb meem rov sau dua tshiab
Thaum koj tau pom qhov tsawg tshaj plaws sib faib, koj yuav tsum muaj peev xwm ntxiv thiab rho tawm cov feem hauv cov teeb meem yooj yim. Nco ntsoov kom yooj yim qhov kev suav zaum kawg yog ua tau.
Piv txwv: 9/24 + 10/24 = 19/24
Txoj Kev 3 ntawm 4: Txheeb Xyuas Txhua Tus Neeg Ua Haujlwm rau Primes
Kauj Ruam 1. Muab tus lej faib ua tus lej thawj
Ua rau txhua tus lej hauv cov lej tseem ceeb uas, thaum sib tw, muab tus nqi ntawd. Tus lej tseem ceeb yog tus lej uas tsis tuaj yeem faib los ntawm lwm tus lej.
- Piv txwv: 1/4 + 1/5 + 1/12
- Thawj qhov tseem ceeb ntawm tus lej 4: 2 * 2
- Thawj qhov tseem ceeb ntawm tus lej 5: 5
- Thawj qhov tseem ceeb ntawm tus lej 12: 2 * 2 * 3
Kauj Ruam 2. Suav tus naj npawb ntawm qhov tshwm sim ntawm txhua tus lej tseem ceeb hauv kev faib tawm
Ntxiv qhov tshwm sim ntawm txhua tus lej tseem ceeb hauv kev faib tawm ntawm txhua tus lej.
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Piv txwv: muaj ob tug lej
Kauj ruam 2. hauv kev faib tawm tus lej 4; tsis muaj tus lej
Kauj ruam 2. hauv kev faib tawm tus lej 5; thiab ob tug lej
Kauj ruam 2. hauv kev txheeb xyuas tus lej 12
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Tsis muaj tus lej
Kauj ruam 3. hauv kev faib tawm tus lej 4 thiab 5; thiab ib tus lej
Kauj ruam 3. hauv kev faib tawm tus lej 12
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Tsis muaj tus lej
Kauj ruam 5. hauv kev faib tawm tus lej 4 thiab 12; ib tus lej
Kauj ruam 5. hauv kev txheeb xyuas tus lej 5
Kauj Ruam 3. Siv tus lej tseem ceeb uas tshwm sim ntau tshaj plaws
Nrhiav tus lej tseem ceeb uas tshwm sim feem ntau hauv kev faib tawm ntawm txhua tus lej, thiab sau tus lej ntawm qhov tshwm sim.
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Piv txwv li: Feem ntau tshwm sim ntawm cov lej
Kauj ruam 2. yog ob, qhov tshwm sim feem ntau ntawm cov lej
Kauj ruam 3. yog ib qho, thiab qhov tshwm sim feem ntau ntawm cov lej
Kauj ruam 5. yog ib.
Kauj Ruam 4. Sau ntau tus lej zauv raws li lawv tshwm sim
Tsis txhob teev cov xwm txheej tshwm sim ntawm cov lej tseem ceeb hauv kev faib tawm ntawm cov lej. Cias sau tus lej tseem ceeb uas tshwm sim ntau tshaj plaws, raws li tau txiav txim hauv cov kauj ruam dhau los.
Piv txwv: 2, 2, 3, 5
Kauj Ruam 5. Muab txhua tus lej zauv sau hauv txoj kev no
Muab cov lej tseem ceeb raws li tau sau tseg hauv cov kauj ruam dhau los. Cov khoom lag luam ntawm cov khoom no zoo ib yam li qhov tsawg tshaj plaws sib faib hauv qhov teeb meem qub.
- Piv txwv: 2*2*3*5 = 60
- Qhov tsawg tshaj plaws denominator = 60
Kauj Ruam 6. Faib tus lej me tshaj uas zoo ib yam li tus lej qub
Txhawm rau txiav txim siab tus naj npawb ntawm cov sib npaug xav tau los sib npaug cov faib, faib cov feem me me uas zoo ib yam li tus lej qub. Muab tus zauv thiab tus zauv ntawm txhua feem los ntawm kev faib ua faib. Cov denominator yuav tsum tam sim no zoo ib yam li qhov sib faib me tshaj plaws.
- Piv txwv: 60/4 = 15; 60/5 = 12; 60/12 = 5
- 15 * (1/4) = 15/60; 12 * (1/5) = 12/60; 5 * (1/12) = 5/60
- 15/60 + 12/60 + 5/60
Kauj Ruam 7. Ua kom tiav qhov teeb meem rov sau dua tshiab
Thaum koj tau pom qhov sib faib tsawg tshaj plaws, koj yuav tsum muaj peev xwm ntxiv thiab rho tawm cov zauv raws li koj ib txwm ua. Nco ntsoov ua kom yooj yim feem ntawm qhov kawg ntawm kev suav yog tias ua tau.
Piv txwv: 15/60 + 12/60 + 5/60 = 32/60 = 8/15
Txoj Kev 4 ntawm 4: Ua Teeb Meem thiab Sib Xws Cov Teeb Meem
Kauj Ruam 1. Hloov tag nrho cov lej thiab cov lej sib xyaw rau hauv cov lej tsis raug
Hloov cov lej sib xyaw rau cov lej tsis raug los ntawm kev sib npaug tus lej los ntawm cov lej thiab ntxiv cov zauv mus rau qhov tshwm sim. Hloov cov lej mus rau qhov feem tsis raug los ntawm kev tso 1 ua tus lej.
- Piv txwv: 8 + 2 1/4 + 2/3
- 8 = 8/1
- 2 1/4; 2 * 4 + 1 = 8 + 1 = 9; 9/4
- Sau cov lus nug: 8/1 + 9/4 + 2/3
Kauj Ruam 2. Nrhiav qhov sib faib tsawg tshaj plaws
Siv ib txoj hauv kev los nrhiav qhov sib faib tsawg tshaj plaws hauv cov feem feem sib faib raws li tau piav qhia saum toj no. Daim ntawv ceeb toom hauv qhov piv txwv no peb yuav siv "cov npe ntawm cov lej", uas yog los tsim cov npe ntawm cov lej ntawm txhua tus lej thiab nrhiav qhov tsawg tshaj plaws sib faib los ntawm cov npe.
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Koj tsis tas yuav sau cov zauv zauv
Kauj ruam 1. vim tias txhua tus lej tau muab sib npaug
Kauj ruam 1. sib npaug rau tus lej nws tus kheej; hauv lwm lo lus, txhua tus lej yog tus lej ntawm tus lej
Kauj ruam 1..
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Piv txwv: 4 * 1 = 4; 4 * 2 = 8; 4 * 3 = ib
Kauj ruam 12.; 4 * 4 = 16; lwm yam.
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3 * 1 = 3; 3 * 2 = 6; 3 * 3 = 9; 3 * 4 =
Kauj ruam 12.; lwm yam.
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Qhov tsawg tshaj plaws denominator =
Kauj ruam 12.
Kauj Ruam 3. Sau qhov teeb meem qub
Hloov chaw ntawm tsuas yog muab cov lej faib, koj yuav tsum muab tag nrho cov feem faib los ntawm tus lej xav tau los tig cov lej rau hauv tib qho lej me me.
- Piv txwv: (12/12) * (8/1) = 96/12; (3/3) * (9/4) = 27/12; (4/4) * (2/3) = 8/12
- 96/12 + 27/12 + 8/12
Kauj Ruam 4. Kho qhov teeb meem
Thaum koj tau pom qhov tsawg tshaj plaws ntawm cov lej thiab sib npaug cov faib raws li tus nqi ntawd, koj yuav tsum muaj peev xwm ntxiv thiab rho tawm cov feem yooj yim. Nco ntsoov kom yooj yim qhov kev suav zaum kawg yog ua tau.
