4/5 x 2 6/7
Write your answer as a mixed number in simplest form
To multiply mixed numbers, you first need to convert them into improper fractions.
4/5 can be converted to an improper fraction by multiplying the whole number (4) by the denominator (5) and adding the numerator (4 x 5 + 4 = 24) over the denominator: 24/5.
2 6/7 can be converted by multiplying the whole number (2) by the denominator (7) and adding the numerator (2 x 7 + 6 = 20) over the denominator: 20/7.
Now, you can multiply the two fractions:
(24/5) x (20/7) = (24 x 20) / (5 x 7) = 480/35.
To write this answer as a mixed number in simplest form, you need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 480 and 35 is 5.
Dividing both the numerator and denominator by 5, you get: (480/5) / (35/5) = 96/7.
Now, write the improper fraction as a mixed number: 96 divided by 7 equals 13 with a remainder of 5.
Therefore, the answer is 13 5/7 in simplest form.