
1)5 2/3- 2 1/52) 2 5/6 + 1 3/103)3 1/2 × 1 5/74)2 3/4 : 1 3/8


Ответы на вопрос

Ответ:
1)5 2/3- 2 1/5 = 3 7/15
2)2 5/6 + 1 3/10 = 4 2/15
3)3 1/2 × 1 5/7 = 6
4)2 3/4 : 1 3/8 = 2
Пошаговое объяснение:
Объяснения нет, его взорвали арабы



1)1 1\5+2 3\10=1 2\10+2 3\10=3 5\10=3 1\2
2)6 3\4-2 2\3=6 9\12-2 8\12=4 1\12
3)3 1\2:1\2=7\2*2\1=7
4)4 1\12:1 1\6=49\12*6\7=7\2=3 1\2
5)7+3 1\2=10 1\2



Let's solve each of these arithmetic problems step by step:
- 5 2/3 - 2 1/5:
First, we need to find a common denominator, which in this case is 15. Then, we can subtract the fractions:
5 2/3 = 5 * 3/3 + 2/3 = 15/3 + 2/3 = 17/3 2 1/5 = 2 * 5/5 + 1/5 = 10/5 + 1/5 = 11/5
Now, we can subtract:
17/3 - 11/5
To subtract these fractions, we need a common denominator, which is 15:
(17/3) * (5/5) - (11/5) * (3/3) = 85/15 - 33/15 = (85 - 33)/15 = 52/15
So, the result is 52/15, which can be expressed as a mixed number as well:
52/15 = 3 7/15
- 2 5/6 + 1 3/10:
First, we need to find a common denominator, which in this case is 30. Then, we can add the fractions:
2 5/6 = 2 * 5/6 = 10/6 = 5/3 1 3/10 = 1 * 3/10 = 3/10
Now, we can add:
5/3 + 3/10
To add these fractions, we need a common denominator, which is 30:
(5/3) * (10/10) + (3/10) * (3/3) = 50/30 + 9/30 = (50 + 9)/30 = 59/30
So, the result is 59/30, which can be expressed as a mixed number as well:
59/30 = 1 29/30
- 3 1/2 × 1 5/7:
To multiply these mixed numbers, first convert them to improper fractions:
3 1/2 = (3 * 2 + 1)/2 = 7/2 1 5/7 = (1 * 7 + 5)/7 = 12/7
Now, multiply the fractions:
(7/2) * (12/7)
The 7s in the numerators and denominators cancel out, leaving us with:
(1 * 12) / (2 * 1) = 12/2 = 6
So, the result is 6.
- 2 3/4 ÷ 1 3/8:
To divide these mixed numbers, first convert them to improper fractions:
2 3/4 = (2 * 4 + 3)/4 = 11/4 1 3/8 = (1 * 8 + 3)/8 = 11/8
Now, divide the fractions:
(11/4) ÷ (11/8)
When you divide by a fraction, you can multiply by its reciprocal:
(11/4) * (8/11)
The 11s in the numerators and denominators cancel out, leaving us with:
(1 * 8) / (4 * 1) = 8/4 = 2
So, the result is 2.


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