Расчет дроби 2 ÷ 5(1/3) = 3/8

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2
÷
5
1
3
=
3
8
Solution:
2
÷
5
1
3
=
2
1
÷
5*3+1
3
=
2
1
÷
15+1
3
=
2
1
÷
16
3
=
2
1
*
3
16
=
2*3
1*16
=
6
16
=
3*2
8*2
=
3
8
Detailed explanation of the solution:
1.Conversion of mixed fractions to ordinary fractions
2
÷
5
1
3
=
2
1
÷
5*3+1
3
=
2
1
÷
15+1
3
=
2
1
÷
16
3
2.Convert the division of fractions into multiplication
2
1
÷
16
3
=
2
1
*
3
16
3.Multiplication fractions
2
1
*
3
16
=
2*3
1*16
=
6
16
4.Reduce the fraction and get the result
6
16
=
3*2
8*2
=
3
8
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