Question

What is the quotient 2 4/5 divided by 1 1/3

Answer 1

To find the quotient of 2 4/5 divided by 1 1/3, first convert mixed numbers to improper fractions, then multiply by the reciprocal of the divisor and simplify. The final quotient is 2 1/10.

Step-by-step explanation:

The question asks us to calculate the quotient when 2 4/5 is divided by 1 1/3. To do this, we first convert the mixed numbers to improper fractions. Here is how you can convert and solve the problem step by step:

1. Convert 2 4/5 to an improper fraction. Multiply the whole number (2) by the denominator (5) and add the numerator (4) to get 5*2 + 4 = 14. So, 2 4/5 becomes 14/5.
2. Next, convert 1 1/3 to an improper fraction in a similar fashion: 1*3 + 1 = 4, making it 4/3.
3. Division of fractions can be done by multiplying the first fraction by the reciprocal of the second. Therefore, we multiply 14/5 by the reciprocal of 4/3, which is 3/4.
4. Multiplying these two fractions, we get (14/5) × (3/4) = 42/20.
5. Simplify 42/20 by finding the greatest common divisor, which is 2, and dividing both numerator and denominator by this number to get 21/10.
6. Finally, convert 21/10 back to a mixed number by dividing 21 by 10 to get 2 with a remainder of 1. Thus, our quotient is 2 1/10.

Therefore, the quotient of 2 4/5 divided by 1 1/3 is 2 1/10

Answer 2

0.6 I can't show the work, but that's the answer