A kitten weighs four pounds and2/3 of a fifth pound. Which mixed number represents the kitten's weight?
4 2/3
To find the mixed number that represents the kitten's weight, we need to find a whole number and a fraction.
Given that the kitten's weight is four pounds and 2/3 of a fifth pound, we can add the two measurements together.
Let's convert 2/3 of a fifth pound into pounds:
Since a fifth of a pound is equivalent to 1/5 pound, we can multiply 2/3 by 1/5:
2/3 * 1/5 = 2/15
Adding this to the initial measurement of 4 pounds:
4 + 2/15 = 60/15 + 2/15 = 62/15
To turn this improper fraction into a mixed number, we divide 62 by 15:
62 divided by 15 equals 4 with a remainder of 2.
The mixed number representing the kitten's weight is 4 2/15 pounds.
To find the mixed number that represents the kitten's weight, we need to add the whole number part (4 pounds) to the fractional part (2/3 of a fifth pound). The whole number part is already given as 4 pounds.
To calculate the fractional part, we need to find 2/3 of a fifth pound. Let's break it down step by step:
1. Convert the mixed number to an improper fraction:
2/3 = (2 * 1) / (3 * 1) = 2/3
Therefore, 2/3 of a fifth pound can be written as (2/3) * 1/5.
2. Multiply the fractions:
(2/3) * (1/5) = 2 * 1 / 3 * 5 = 2/15
So, 2/3 of a fifth pound is equal to 2/15 pound.
Now, let's add the whole number part and the fractional part together:
4 pounds + 2/15 pound
To add these two, we need to find a common denominator:
The common denominator for 15 and 1 is also 15.
4 pounds + 2/15 pound = (4 * 15/15) + 2/15
= 60/15 + 2/15
= 62/15
Now, we have the weight of the kitten as 62/15 pounds. To convert this fraction into a mixed number, we need to divide the numerator (62) by the denominator (15).
Dividing 62 by 15, we get:
Quotient = 4
Remainder = 2
Therefore, the mixed number representation of the kitten's weight is 4 and 2/15 pounds.