Answer:
3
Step-by-step explanation:
Divide: 2 : 2 /3 = 2
1
· 3
2
= 2 · 3
1 · 2
= 6
2
= 2 · 3
2 · 1
= 3
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2 /3 is 3
of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step cancelling by a common factor of 2 gives 3
.
In words - two divided by two thirds = three.
The quotient of 2 and 2/3 is 3
Quotient is expressed as a ratio of two integers. For instance, the ratio of a to be is expressed as a/b
Given the expression 2 ÷ 2/3
This is also expressed as [tex]2 \times 3/2[/tex]
[tex]2 \times 3/2 = \frac{6}{2} = 3[/tex]
Hence the quotient of 2 and 2/3 is 3
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