MATH QUIZ SPECIAL MIDNIGHT "EASY"

^PECAHAN^
Sederhanakan dan tentukan hasilnya pecahan tersebut!
1. 45/60
2. 72/99
3. 250/380
4. 2/45 × 20/12
5. 60/24 ÷ 6/5
6. 200/340 + 8/12 – 680/970
7. 40/35 ÷ 54/22 – 230/420
8. 1620/2400 – 20/32 × 6/4
*9. 450% + 0,75 – 882/548
*10. 6,6 – 5,7 × 500/320 + 8% + 120,25

ATTENTION
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Selamat Mengerjakan ^-^ para begadangers..

MATH QUIZ SPECIAL MIDNIGHT “EASY”

Penjelasan dengan langkah-langkah:

Nomor 1

$frac{45}{60}$

$= frac{ cancel {45}^{3} }{ cancel {60}^{4} }$

${ boxed{ boxed{ = frac{3}{4} }}}$

$frac{45}{60} to frac{3}{4}$

Nomor 2

$frac{72}{99}$

$= frac{ cancel {72}^{8} }{ cancel {99}^{11} }$

${ boxed{ boxed{ rm = frac{8}{11} }}}$

$frac{72}{99} to frac{8}{11}$

Nomor 3

$frac{250}{380}$

$= frac{ cancel {250}^{25} }{ cancel {380}^{38} }$

${ boxed{ boxed{ = frac{25}{38} }}}$

$frac{250}{380} to frac{25}{38}$

Nomor 4

$frac{2}{45} times frac{20}{12}$

$= frac{ cancel2}{ cancel {45}^{9} } times frac{ cancel {20}^{4} }{ cancel {12}^{6} }$

$= frac{1}{9} times frac{4}{6}$

$= frac{1}{9} times frac{2}{3}$

$= frac{2}{9 times 3}$

${ boxed{ boxed{ = frac{2}{27} }}}$

Nomor 5

$frac{60}{24} div frac{6}{5}$

$= frac{5}{2} div frac{6}{5}$

$= frac{5}{2} times frac{5}{6}$

$= frac{5 times 5}{2 times 6}$

$= frac{25}{12}$

${ boxed{ boxed{ = 2 frac{1}{12} }}}$

Nomor 6

Sederhanakan ketiga pecahan

$frac{200}{340} + frac{8}{12} - frac{680}{970}$

$= frac{10}{17} + frac{2}{3} - frac{68}{97}$

Samakan penyebut dari ketiga pecahan

$= frac{2910}{4947} + frac{3298}{4947} - frac{3468}{4947}$

$= frac{2910 + 3298 - 3468}{4947}$

${boxed{boxed{= frac{2740}{4947}}}}$

Nomor 7

$frac{40}{35} div frac{54}{22} - frac{230}{420}$

Sederhanakan ketiga pecahan tersebut

$= frac{8}{7} div frac{27}{11} - frac{23}{42}$

$= frac{8}{7} times frac{11}{27} - frac{23}{42}$

$= frac{8 times 11}{7 times 27} - frac{23}{42}$

$= frac{88}{189} - frac{23}{42}$

$= frac{176}{378} - frac{207}{378}$

$= frac{ - 31}{378}$

${ boxed{ boxed{ = - frac{31}{378} }}}$

Nomor 8

$frac{1620}{2400} - frac{20}{32} times frac{6}{4}$

Perkalian didahulukan

$= frac{1620}{2400} - frac{ cancel{20}}{ cancel{32}} times frac{ cancel6}{ cancel4}$

$= frac{1620}{2400} - frac{5 times 3}{16}$

$= frac{1620}{2400} - frac{15}{16}$

$= frac{54}{80} - frac{75}{80}$

$= frac{54 - 75}{80}$

$= frac{ - 21}{80}$

${ boxed{ boxed{ = - frac{21}{80} }}}$

Nomor 9

$450% + 0.75 - frac{882}{548}$

Jadikan pecahan biasa seluruhnya

$= frac{450}{100} + frac{75}{100} - frac{882}{548}$

$= frac{525}{100} - frac{882}{548}$

$= frac{21}{4} - frac{882}{548}$

$= frac{2877}{548} - frac{882}{548}$

$= frac{1995}{548}$

${ boxed{ boxed{ = 3 frac{351}{548} }}}$

Nomor 10

$6.6 - 5.7 times frac{500}{320} + 8% + 120.25$

Jadikan seluruhnya menjadi pecahan biasa paling sesederhana mungkin

$frac{33}{5} - frac{57}{10} times frac{25}{16} + frac{2}{25} + frac{481}{4}$

$= frac{33}{5} - frac{285}{32} + frac{2}{25} + frac{481}{4}$

$= frac{5280}{800} - frac{7125}{800} + frac{64}{800} + frac{96200}{800}$

$= frac{5280 - 7125 + 64 + 96200}{800}$

$= frac{94419}{800}$

${ boxed{ boxed{ = 118 frac{19}{800} }}}$

Penjelasan dengan langkah-langkah:

$1). : : frac{45}{60} = frac{45 div 15}{60 div 15} = frac{3}{4} \$

$2). : : frac{72}{99} = frac{72 div 9}{99 div 9} = frac{8}{11} \$

$3). : : frac{250}{380} = frac{250 div 10}{380 div 10} = frac{25}{38} \$

$4). : : frac{sf{ cancel{2}}}{sf{ cancel{45}}} times frac{sf{ cancel{20}}}{sf{ cancel{12}}} \ \ = frac{1}{9} times frac{sf{ cancel{4}}}{sf{ cancel{6}}} \ \ = frac{1}{9} times frac{2}{3} \ \ = frac{2}{27}$

$5). : : frac{60}{24} div frac{6}{5} \ \ = frac{60}{24} times frac{5}{6} \ \ = frac{10}{24} times 5 \ \ = frac{5}{12} times 5 \ \ = frac{25}{12} \ \ = 2 frac{1}{12}$

$6). : : frac{200}{340} + frac{8}{12} - frac{680}{970} \ \ = frac{10}{17} + frac{2}{3} - frac{68}{97} \ \ = frac{2910 + 3298 - 3468}{4947} \ \ = frac{2740}{4947}$

$7). : : frac{40}{35} div frac{54}{22} - frac{230}{420} \ \ = frac{8}{7} times frac{22}{54} - frac{230}{420} \ \ = frac{8}{7} times frac{11}{27} - frac{230}{420} \ \ = frac{88}{189} - frac{230}{420} \ \ = - frac{31}{378}$

$8). : : frac{1620}{2400} - frac{20}{32} times frac{6}{4} \ \ = frac{1620}{2400} - frac{5}{16} times 3 \ \ = frac{1620}{2400} - frac{15}{16} \ \ = - frac{21}{80}$

$9). : : 450% + 0.75 - frac{882}{548} \ \ = frac{450}{100} + frac{3}{4} - frac{882}{548} \ \ = frac{1995}{548} \ \ = 3 frac{351}{548}$

$10). : : 6.6 - 5.7 times frac{500}{320} + 8% + 120.25 \ \ = frac{33}{5} - frac{57}{10} times frac{500}{320} + frac{8}{100} + frac{481}{4} \ \ = frac{33}{5} - 57 times frac{50}{320} + frac{8}{100} + frac{481}{4} \ \ = frac{33}{5} - 57 times frac{5}{32} + frac{8}{100} + frac{481}{4} \ \ = frac{33}{5} - frac{285}{32} + frac{8}{100} + frac{481}{4} \ \ = frac{94419}{800} \ \ = 118 frac{19}{800}$

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