Berikut ini adalah pertanyaan dari hyjqpksq9m pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama
3. 1/4 + 1.5 : 0,25 =
4. 2 2/5 x 1/6 + 0,15 =
5. 14,1 : ( 1 3/5 + 75%) =
6. 10,125 - 34,125 : 6 1/24 =
7. 35% + 2 4/5 x ( 0,25 + 1/5 ) =
8. 2,5 : 1/4 - 1/5 x 20% =
9. 4 4/5 x 0,4 - 1 1/8 : 3/4 =
Jawaban dan Penjelasan
Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.
1.) 2 × 2 3/8 - 5 3/4
= (2/1 × 19/8) - 23/4
= (2 × 19/1 × 8) - 23/4
= (38 ÷ 2/8 ÷ 2) - 23/4
= 19/4 - 23/4
= 19/4 - 23/4
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2.) 1,25 + 0,5 × 1/4
= 125/100 + 5/10 × 1/4
= 5/4 + (1/2 × 1/4)
= 5/4 + (1 × 1/2 × 4)
= 5/4 + 1/8
= (8 ÷ 4) × 5 + (8 ÷ 8) × 1/8
= (2 × 5) + (1 × 1)/8
= 10 + 1/8
= 11/8
= 1 3/8
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3.) 1/4 + 1,5 ÷ 0,25
= 1/4 + 15/10 × 25/100
= 1/4 + (3/2 × 1/4)
= 1/4 + (3 × 1/2 × 4)
= 1/4 + 3/8
= (8 ÷ 4) × 1 + (8 ÷ 8) × 3/8
= (2 × 1) + (1 × 3)/8
= 2 + 3)/8
= 5/8
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4.) 2 2/5 × 1/6 + 0,15
= 12/5 × 1/6 + 15/100
= (12/5 × 1/6) + 3/20
= (12 × 1/5 × 6) + 3/20
= (12 ÷ 3/30 ÷ 3) + 3/20
= 4/10 + 3/20
= (20 ÷ 10) × 4 + (20 ÷ 20) × 3/20
= (2 × 4) + (1 × 3)/20
= 8 + 3/20
= 11/20
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5.) 14,1 ÷ (1 3/5 + 75 %)
= 141/10 × (8/5 + 75/100)
= 141/10 × (8/5 + 3/4)
= 141/10 × (20 ÷ 5) × 8 + (20 ÷ 4) × 3/20
= 141/10 × (4 × 8) + (5 × 3)/20
= 141/10 × (32 + 15/20)
= 141/10 × 47/20
= 141 × 47/10 × 20
= 6.627/200
= 33 27/200
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6.) 10,125 - 34,125 ÷ 6 1 /24
= 10.125/1.000 - 34.125/1.000 × 145/24
= 81/8 - (273/8 × 145/24)
= 81/8 - (273 × 145/8 × 24)
= 81/8 - 39.585 ÷ 3/192 ÷ 3
= 81/8 - 13.195/64
= (64 ÷ 8) × 81 - (64 ÷ 64) × 13.195/64
= (8 × 81) - (1 × 13.195)/64
= 648 - 13.195/64
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7.) 35 % + 2 4/5 × (0,25 + 1/5)
= 35/100 + 14/5 × (25/100 + 1/5)
= 7/20 + 14/5 × (1/4 + 1/5)
= 7/20 + 14/5 × (20 ÷ 4) × 1 + (20 ÷ 5) × 1/20
= 7/20 + 14/5 × (5 × 1) + (4 × 1)/20
= 7/20 + 14/5 × (5 + 4/20)
= 7/20 + 14/5 × 9/20
= 7/20 + (14/5 × 9/20)
= 7/20 + (14 × 9/5 × 20)
= 7/20 + (126 ÷ 2/100 ÷ 2)
= 7/20 + 63/50
= 7/20 + 63/50
= (100 ÷ 20) × 7 + (100 ÷ 50) × 63/100
= (5 × 7) + (2 × 63)/100
= 35 + 126/100
= 161/100
= 1 61/100
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8.) 2,5 ÷ 1/4 - 1/5 × 20 %
= (25/10 × 1/4) - (1/5 × 20/100)
= (5/2 × 4/1) - (1/5 × 1/5)
= (5 × 4/2 × 1) - (1 × 1/5 × 5)
= 20/2 - 1/25
= 10 - 1/25
= 10/1 - 1/25
= (25 ÷ 1) × 10 - (25 ÷ 25) × 1/25
= (25 × 10) - (1 × 1)/25
= 250 - 1/25
= 249/25
= 9 24/25
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9.) 4 4/5 × 0,4 - 1 1/8 ÷ 3/4
= 24/5 × 4/10 - 9/8 × 3/4
= (24/5 × 2/5) - (9/8 × 4/3)
= (24 × 2/5 × 5) - (9 × 4/8 × 3)
= 48/25 - (36 ÷ 4/24 ÷ 4)
= 48/25 - 9/6
= (150 ÷ 25) × 48 - (150 ÷ 6) × 9/150
= (6 × 48) - (25 × 9)/150
= 288 - 225/150
= 63 ÷ 3/150 ÷ 3
= 21/50
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Last Update: Wed, 09 Aug 23