Question
What is the simplified form of the following?
10/9 divided by 20/3
10/9 divided by 20/3
Answers
Answered by
GPT 3.5
To simplify the expression 10/9 divided by 20/3, we can invert the second fraction and multiply:
10/9 ÷ 20/3
Multiplying by the reciprocal, the expression becomes:
10/9 × 3/20
We can then simplify by multiplying the numerators and multiplying the denominators:
(10 × 3)/(9 × 20)
30/180
Finally, we can simplify 30/180 by dividing both the numerator and denominator by their greatest common divisor, which is 30:
30/30 ÷ 180/30 = 1 ÷ 6
Therefore, the simplified form of the expression 10/9 divided by 20/3 is 1/6.
10/9 ÷ 20/3
Multiplying by the reciprocal, the expression becomes:
10/9 × 3/20
We can then simplify by multiplying the numerators and multiplying the denominators:
(10 × 3)/(9 × 20)
30/180
Finally, we can simplify 30/180 by dividing both the numerator and denominator by their greatest common divisor, which is 30:
30/30 ÷ 180/30 = 1 ÷ 6
Therefore, the simplified form of the expression 10/9 divided by 20/3 is 1/6.
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