Question

What is 1/4 of 13 1/3? Make sure your answer is fully reduced

Answer 1

`(10)/(3)` or
`3(1)/(3)`

Explanation:

Step 1: First, we can convert the mixed number 13 1/3 to an improper fraction:

`((13*3)+1)/(3)\\ \\(39+1)/(3)\\ \\(40)/(3)`

Step 2: Now, we can find 1/4 of 40/3 (aka 13 1/3) by multiplying the two numbers:

1/4 * 40/3 = 40/12

Step 3: We simplify the fraction by dividing both the numerator and denominator by the GCF between 40 and 12. The GCF between these two numbers is 4, so we divide both numbers by 4 to simplify:

(40 / 4) / (12 / 4) = 10/3

Optional Step 4: We can convert the improper fraction 10/3 to a mixed number like 13 1/3 by using the following steps:

1. Divide the numerator by the denominator.

• 10 / 3 = 3 with a remainder of 1

2. Write down the whole number part of the answer.

• The whole number of the answer is 3

3. Write the remainder as the numerator of the fraction part.

• The remainder 1 becomes the numerator

4. Write the original denominator as the denominator of the fraction part

• The original denominator was 3

Thus, 10/3 as a mixed number is 3 1/3