2 1/5 x 3 4/7
Write your answer as a mixed number in simplest form
To multiply these mixed numbers, we need to convert them to improper fractions first.
Converting 2 1/5 to an improper fraction:
2 1/5 = 2 + 1/5 = 2 * 5/5 + 1/5 = 10/5 + 1/5 = 11/5
Converting 3 4/7 to an improper fraction:
3 4/7 = 3 + 4/7 = 3 * 7/7 + 4/7 = 21/7 + 4/7 = 25/7
Now, we can multiply the improper fractions:
(11/5) * (25/7) = (11 * 25) / (5 * 7) = 275/35
Simplifying the fraction:
To simplify 275/35, we can divide both the numerator and denominator by their greatest common divisor, which is 5.
275/35 = (275/5) / (35/5) = 55/7
Therefore, the answer is 55/7, which can also be written as the mixed number 7 6/7, in simplest form.