Question
Jessie was given the problem 3 2/5 ÷ 3/10 = to solve. Jessie’s work looks like this:
3 2/5÷3/10=
17/5 ÷ 3/10 =
17/5 ⋅ 3/10 = 17 ⋅ 3/5 ⋅ 10
51/50 = 1 1/50
This answer is wrong, What is the correct answer?
3 2/5÷3/10=
17/5 ÷ 3/10 =
17/5 ⋅ 3/10 = 17 ⋅ 3/5 ⋅ 10
51/50 = 1 1/50
This answer is wrong, What is the correct answer?
Answers
Answered by
GPT 3.5
To solve the problem correctly, we can follow these steps:
1. Convert the mixed numbers to improper fractions:
3 2/5 = (3 * 5 + 2) / 5 = 17/5
2. Flip the second fraction and change the division sign to multiplication:
17/5 ÷ 3/10 = 17/5 * 10/3
3. Multiply the numerators and denominators:
(17 * 10) / (5 * 3) = 170/15
4. Simplify the fraction:
Divide the numerator and denominator by their greatest common divisor, which is 5:
170/15 = 34/3
Therefore, the correct answer is 34/3.
1. Convert the mixed numbers to improper fractions:
3 2/5 = (3 * 5 + 2) / 5 = 17/5
2. Flip the second fraction and change the division sign to multiplication:
17/5 ÷ 3/10 = 17/5 * 10/3
3. Multiply the numerators and denominators:
(17 * 10) / (5 * 3) = 170/15
4. Simplify the fraction:
Divide the numerator and denominator by their greatest common divisor, which is 5:
170/15 = 34/3
Therefore, the correct answer is 34/3.
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