5/6÷4/9 in simplest form
1. 5/6÷4/9 in simplest form
Penjelasan dengan langkah-langkah:
5/6 : 4/9
→ 5/6 × 9/4
→ (5 × 9)/(6 × 4)
→ 45/24
→ 15/8
→ 1 7/8
Jawaban:
5/6÷4/9
=5/6×9/4
=15/8
=1 7/8
2. Find the product of 8/7 and 5/6 in its simplest form.
[tex] \frac{8}{7} \times \frac{5}{6} \\ \\ = \frac{8 \times 5}{7 \times 6} \\ \\ = \frac{40}{42} \\ \\ = \frac{40 \div 2}{42 \div 2} \\ \\ = \frac{20}{21} [/tex]
The simplest result of multiplying 8/7 and ⅚ is 20/21
3. Express each answer in ITS simplest form. 4 5/8 - 3 5/6 =
Jawaban:
4 5/8 - 3 5/6
=> 37/8 - 23/6
=> 222/48 - 184/58
=> 222-184/48
=> 38/48
=> 19/24
4. Add. Express your answer as a mixed number in its simplest form.a. 6 3/5 + 4 5/6 b. 5 7/4 + 2 2/7c. 9 7/6 + 7 5/12d. 4 7/12 + 10 5/9
Jawaban:
[tex]a. \: 11 \frac{13}{30} \\ b. \: 9 \frac{1}{28} \\ c. \: 17 \frac{7}{12} \\ d. \: 15 \frac{15}{108} [/tex]
5. write the following franctions in simplest form 1) 18/24=,49/70=,100/100=,4 25/35=,5 7/42=
Jawaban:
(i) 2 – 3/5 (ii) 4 + 7/8 (iii) 3/5 + 2/7 (iv) 9/11 – 4/15 (v) 7/10 + 2/5 + 3/2
(vi) 2 + 3 (vii) 8 - 3
Answer:
(i) 2 – 3/5 = 2/1 – 3/5
= (2 * 5 – 3 * 1)/5 [LCM (1, 5) = 5]
= (10 - 3)/5
= 7/5
= 1
(ii) 4 + 7/8 = 4/1 + 7/8
= (4 * 8 + 7)/8 [LCM (1, 8) = 8]
= (32 + 7)/8
= 39/8
= 4
(iii) 3/5 + 2/7 = (3 * 7 + 2 * 5)/35 [LCM (7, 5) = 35]
= (21 + 10)/35
= 31/35
(iv) 9/11 – 4/15 = (9 * 15 – 4 * 11)/165 [LCM (11, 15) = 165]
= (135 - 44)/165
= 91/165
(v) 7/10 + 2/5 + 3/2 = (7 * 1 + 2 * 2 + 3 * 5)/10
= (7 + 4 + 15)/10
= 26/10 [26 and 10 are divided by 2]
= 13/5
= 2
(vi) 2 + 3 = 8/3 + 7/2
= (8 * 2 + 7 * 3)/6 [LCM (2, 3) = 6]
= (16 + 21)/6
= 37/6
= 6
(vii) 8 - 3 = 17/2 – 29/8
= (17 * 4 – 29 * 1)/8 [LCM (2, 8) = 8]
= (68 - 19)/8
= 39/8
= 4
Question 2:
Arrange the following in descending order:
(i) 2/9, 2/3, 8/21 (ii) 1/5, 3/7, 7/10
Answer:
(i) 2/9, 2/3, 8/21 = (2 * 7, 2 * 21, 8 * 3)/63 [LCM (9, 3, 21) = 63]
= (14, 42, 24)/63
= 14/63, 42/63, 24/63
Now, 42/63, 24/63, 14/63 [Arrange in descending order]
So, 2/3, 8/21, 2/9
(ii) 1/5, 3/7, 7/10 = (1 * 14, 3 * 10, 7 * 7)/70
= (14, 30, 49)/70
= 14/70, 30/70, 49/70
Now, 49/70, 30/70, 14/70 [Arrange in descending order]
So, 7/10, 3/7, 1/5
Question 3:
In a “magic square”, the sum of the numbers in each row, in each column and along the diagonals is the same. Is this a magic square?
Class_7_Maths_Fraction_&_Decimals_Representing_Fractions
(Along the first row 4/11 + 9/11 + 2/11 = 15/11)
Answer:
Sum of first row: 4/11 + 9/11 + 2/11 = 15/11 (Given)
Sum of second row: 3/11 + 5/11 + 7/11 = (3 + 5 + 7)/11 = 15/11
Sum of third row: 8/11 + 1/11 + 6/11 = (8 + 1 + 6)/11 = 15/11
Sum of first column: 4/11 + 3/11 + 8/11 = (4 + 3 + 8)/11 = 15/11
Sum of second column: 9/11 + 5/11 + 1/11 = (9 + 5 + 1)/11 = 15/11
Sum of third column: 2/11 + 7/11 + 6/11 = (2 + 7 + 6)/11 = 15/11
Sum of first diagonal (left to right): 4/11 + 5/11 + 6/11 = (4 + 5 + 6)/11 = 15/11
Sum of second diagonal (left to right): 2/11 + 5/11 + /11 = (2 + 5 + 8)/11 = 15/11
Since the sum of fractions in each row, in each column and along the diagonals is same, therefore it is a magic square.
Question 4:
A rectangular sheet of paper is 12 cm long and 10 cm wide. Find its perimeter.
Answer:
Given: The sheet of paper is in rectangular form.
Length of sheet = 12 cm = 25/2 cm
and Breadth of sheet = 10 cm = 32/3
Now, Perimeter of rectangle = 2 (length + breadth)
= 2(25/2 + 32/2)
= 2[(25 * 3 + 32 * 3)/6]
= 2[(75 + 96)/6]
= 2(139/6)
= 139/3
= 46
Thus, the perimeter of the rectangular sheet is 46 cm.
Question 5:
Find the perimeter of (i) Δ ABE, (ii) the rectangle BCDE in this figure. Whose perimeter is greater?
Class_7_Maths_Fraction_&_Decimals_Combinationof_Triangle_&_Rectangle
Answer:
(i) In Δ ABE, AB = 5/2 cm, BE = 2 cm, AE = 3 cm
The perimeter of Δ ABE = AB + BE + AE
= 5/2 + 2 + 3
= 5/2 + 11/4 + 18/5
= (5 * 10 + 11 * 5 + 18 *4)/20
= (50 + 55 + 72)/20
= 177/20
= 8 cm
Thus, the perimeter of Δ ABE is 8 cm.
(ii) In rectangle BCDE, BE = 2 cm, ED = 7/6
Perimeter of rectangle = 2(Length + Breath)
= 2(2 + 7/6)
= 2(11/4 + 7/6)
= 2[(11 * 3 + 7 * 2)/12]
= 2[(33 + 14)/12]
= 2(47/12)
= 47/6
= 7
Thus, the perimeter of rectangle BCDE is 7 cm.
Since, 8 cm > 7 cm
Therefore, the perimeter of Δ ABE is greater than that of rectangle BCDE.
Question 6:
Salil wants to put a picture in a frame. The picture is 7 cm wide. To fit in the frame the picture cannot be more than 7 cm wide.
How much should the picture be trimmed?
Answer:
Given, the width of the picture = 7 cm = 38/5 cm
and the width of the picture frame = 7 cm = 73/10
Therefore, the picture should be trimmed = 38/5 – 73/10
= (38 * 2 – 73 * 1)/10
= (76 – 73)/10
= 3/10
Thus, the picture should be trimmed by 3/10 cm.
Question 7:
Ritu ate 3/5 part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat?
Who had the larger share? By how much?
Answer:
The part of an apple eaten by Ritu = 3/5
The part of an apple eaten by Somu = 1 – 3/5 = (5 - 3)/5 = 2/5
Comparing the parts of an apple eaten by both Ritu and Somu: 3/5 > 2/5
Larger share will be more by 3/5 – 2/5 = 1/5
Thus Ritu’s part is 1/5 more than Somu’s part.
Penjelasan dengan langkah-langkah:
semoga membantu
Jawaban:
18/24=3/4 (dibagi 6)
49/70=7/10 (dibagi 7)
100/100=1/1
25/35=5/7 (dibagi 5)
7/42=1/6 (dibagi 7)
6. Find the answer in mixed numbers and simplest form. A.12/5+5/6= B.3 3/4 + 1 7/8=
[tex]A. \: \frac{12}{5} + \frac{5}{6} = \frac{97}{30} = 3 \frac{7}{30} \\ [/tex]
[tex]B. \: 3 \frac{3}{4} + 1 \frac{7}{8} = \frac{29}{8} = 3 \frac{5}{8} \\ [/tex]
Penyelesaian[tex]A. \: \frac{12}{5} + \frac{5}{6} \\ [/tex]
[tex] = \frac{72 + 25}{30} \\ [/tex]
[tex] = \frac{97}{30} \\ [/tex]
[tex] = 3 \frac{7}{30} \\ [/tex]
[tex]B. \: 3 \frac{3}{4} + 1 \frac{7}{8} \\ [/tex]
[tex] = \frac{7}{4} + \frac{15}{8} \\ [/tex]
[tex] = \frac{14 + 15}{8} \\ [/tex]
[tex] = \frac{29}{8} \\ [/tex]
[tex] = 3 \frac{5}{8} \\ [/tex]
Ihopethishelpyou^^
I'm sorry if I'm wrong, just hide it
7. 72/108 = Give your answer in its simplest form.
Jawaban:
2/3
Penjelasan dengan langkah-langkah:
72/108 : 36 = 2/3
semoga membantu
8. write the fractions in their simplest form
» Penyelesaian
The simplest form of the fraction
[tex](c) \frac{6}{24} = \frac{6 \div 6}{24 \div 6} = \frac{1}{4} [/tex]
[tex](f) \frac{90}{100} = \frac{90 \div 10}{100 \div 10} = \frac{9}{10} [/tex]
9. matter in its simplest form is called
Jawaban:
atoms.
semoga membantuu
10. ratio in simplest form 420 : 280
Penjelasan dengan langkah-langkah:
[tex] \frac{420}{280} = \frac{42}{28} = \frac{21}{14} = \frac{3}{2} = 1 \frac{1}{2} [/tex]
CMIIW
Penjelasan dengan langkah-langkah:[tex] \frac{420}{280} \div \frac{42}{28} [/tex]
[tex] \frac{21}{14} \div \frac{3}{2} [/tex]
Jawaban:maka jawaban dari 420 : 280 adalah
[tex]1 \frac{1}{2} [/tex]
11. 1. Write your answer in its simplest form ! 31/12 x 15/4= ... 2. Write your answer in its simplest form ! 5 3/2-2 5/3 = … Tolong dijawab dengan lengkap ya...
1.31/12 × 15/4 (15 dicoret dengan 12)
= 31/4 × 5/4
= 155/16
= 9 11/16
2.5 3/2 - 2 5/3
= 13/2 - 11/3
= 39/6 - 22/6
= 17/6
= 2 5/6
12. the value of 1 ⅔ + 5 in the simplest form
Jawaban:
Both common fractions and algebraic expressions may be simplified, or written in simplest form.
Common fractions
A common fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.
ExampleTo express  in simplest form, think:What is the greatest common factor (GCF) of 6 and 8? The answer is 2. Use 2 as the numerator and denominator of a common fraction (). This common fraction is equivalent to 1.Divide  by this value for 1.Think: What is the greatest common factor of 3 and 4? is expressed in simplest form as .
Did you know?
Many years ago, expressing a fraction in simplest form was called "reducing the fraction." However, the fraction is not reduced — its value stays the same! That's why we no longer use the expression "reducing the fraction."
An expression is in simplest form when no terms can be combined.
ExampleTo express 3 + (2 × 5) in simplest form:First: perform the operation within parantheses.2 × 5 = 10Next: perform the addition.3 + 10 = 13Thus, 3 + (2 × 5), expressed in simplest form, is 13.
Also called lowest terms, lowest terms of a fraction.
See also greatest common factor, order of operations, simplify..
Related word simplify.
Jawaban:
So,thevalueinthesimplestformis62/3
Penjelasan dengan langkah-langkah:
[tex]1 \frac{2}{3} + 5 = \frac{5}{3} + \frac{5}{1} = \frac{5 + 15}{3} = \frac{20}{3} = 6 \frac{2}{3} [/tex]
Or you can do it directly :
[tex]1 \frac{2}{3} + 5 = 1 + 5( \frac{2}{3} ) = 6 \frac{2}{3} [/tex]
13. Answer in simplest form
600g/4kg=600g/4000g= 3/20
14. Express 28 months as a fraction of 7 years in its simplest form.
Kalimat loe udah kek penyair internasional!
Mengekspresikan 28 bulan sebagai bagian dr 7 th dalam bentuknya yg paling sederhana
---------------
askmeenglish (tanya gue Inggris!)
15. Solve this problem in simplest form 21/6 - 12/4=
Jawab:
the result of [tex]\frac{21}{6} - \frac{12}{4}[/tex] is [tex]\frac{3}{2}[/tex]
Penjelasan dengan langkah-langkah:
⨠ [tex]\frac{21}{6} and \frac{12}{4}[/tex] is unlike fractions, we need to find common factor for the denominator:
denominator (6) × denominator (4) = 24 will be our new denominator
⨠ now we can solve the problem:
[tex]\frac{21}{6} - \frac{12}{4} = \frac{84}{24} - \frac{72}{24} = \frac{12}{24}[/tex]
⨠ [tex]\frac{12}{24}[/tex] can be simplified to: [tex]\frac{6}{4}[/tex] but can still be simplified to: [tex]\frac{3}{2}[/tex]
hope it helps, sorry if wrong (๑ᵔ‿ᵔ๑)
16. Add. Express your answer in its simplest form. 2/5 + 3/7
Jawab:
Penjelasan dengan langkah-langkah:
[tex]\frac{2}{5} + \frac{3}{7} = \frac{14+15}{35} =\frac{29}{35}[/tex]
Semoga membantu
No copas
Jawab:
29/35
Penjelasan dengan langkah-langkah:
2/5 + 3/7 = (2 x 7/5 x 7) + (3 x 5/7 x 5) = 14/35 + 15/35 = 29/35. Cause we cannot divide 29 the simplest form is 29/35
17. 5/240 in its simplest form...
Jawaban :
Bentuk sederhana dari 5/240 = 1/48
Penjelasan :
[tex] \frac{5}{240} \div \frac{5}{5} = [/tex]
[tex] \frac{1}{48} [/tex]
semoga membantu :)
18. Add fractions. 7/10+1/5 = ? (Express your answer in simplest form)
Penjelasan dengan langkah-langkah:
[tex] \frac{7}{10} + \frac{1}{5} \\ = \frac{7}{10} + \frac{2}{10} \\ = \frac{9}{10} [/tex]
Jawaban:
[tex] \frac{9}{10} [/tex]
Penjelasan dengan langkah-langkah:
[tex] \frac{7}{10} + \frac{1}{5} = \frac{7 + 2}{10} = \frac{9}{10} [/tex]
maaf kalau salah
19. the simplest form of 9 - 4(2p + 5)
Jawaban:
9-4(2p+5)
9-8p+5
=14+8p
20. 7\8+5\6 in simplest isform
Jawaban:
41/24
Penjelasan dengan langkah-langkah:
7/8+5/6
=21+20/24
=41/24
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