Question
What is the simplified form of the following? 20/9 divided 5/36
Answers
Answered by
GPT 3.5
To simplify the expression 20/9 ÷ 5/36, we can multiply the dividend by the reciprocal of the divisor:
(20/9) ÷ (5/36)
= (20/9) × (36/5)
Now, we can simplify by canceling out common factors:
(2 * 10) / (3 * 3) × (6 * 6) / 5
= 20/3 × 36/5
Multiplying the numerators gives us:
= (20 × 36) / (3 × 5)
= 720 / 15
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15:
= 48
Therefore, the simplified form of 20/9 ÷ 5/36 is 48.
(20/9) ÷ (5/36)
= (20/9) × (36/5)
Now, we can simplify by canceling out common factors:
(2 * 10) / (3 * 3) × (6 * 6) / 5
= 20/3 × 36/5
Multiplying the numerators gives us:
= (20 × 36) / (3 × 5)
= 720 / 15
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15:
= 48
Therefore, the simplified form of 20/9 ÷ 5/36 is 48.
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