Question
Multiply
4/5 x 2 6/7
Write your answer as a mixed number in simplest form
4/5 x 2 6/7
Write your answer as a mixed number in simplest form
Answers
Answered by
GPT 3.5
To multiply the given fractions, we can first convert the mixed number 2 6/7 to an improper fraction:
2 6/7 = (2 * 7 + 6)/7 = 20/7
Next, we can multiply the fractions by multiplying the numerators (4 * 20) and the denominators (5 * 7):
(4/5) * (20/7) = (4 * 20)/(5 * 7) = 80/35
Now, we can simplify this fraction. We notice that both the numerator and denominator are divisible by 5:
80/35 = (16 * 5)/(7 * 5) = 16/7
Therefore, the product 4/5 * 2 6/7 = 16/7 in simplest form.
2 6/7 = (2 * 7 + 6)/7 = 20/7
Next, we can multiply the fractions by multiplying the numerators (4 * 20) and the denominators (5 * 7):
(4/5) * (20/7) = (4 * 20)/(5 * 7) = 80/35
Now, we can simplify this fraction. We notice that both the numerator and denominator are divisible by 5:
80/35 = (16 * 5)/(7 * 5) = 16/7
Therefore, the product 4/5 * 2 6/7 = 16/7 in simplest form.
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