What is 8 Divided by 1 and 1/3?

What is 8 Divided by 1 and 1/3?

To divide 8 by 1 and 1/3, first convert the mixed number 1 and 1/3 into an improper fraction.

1 and 1/3 as an improper fraction is 4/3.

Now, divide 8 by 4/3:

8 ÷ (4/3) = 8 * (3/4) = 24/4 = 6.

So, 8 divided by 1 and 1/3 is equal to 6.

Dividing by a Mixed Number Fraction

Dividing by fractions is an important foundational math skill. When the divisor is a mixed number, we need to either convert it to an improper fraction, or divide separately by the whole number and fractional parts.

Let’s break down dividing 8 by the mixed number 1 1/3:

Convert to Improper Fraction

We can rewrite 1 1/3 as an improper fraction:

1 1/3 = 1 (1/3) = (1 * 3) / 3 + 1/3 = 4/3

Now we can divide 8 by the improper fraction 4/3 using normal fraction division:

8 / 4/3 = 8 * (3/4) = 24/4 = 6

Therefore, 8 / 1 1/3 = 6

Divide Whole Number and Fraction Separately

Without converting to an improper fraction, we can also divide in two steps:

Step 1) 8 / 1 = 8 (Divide by the whole number portion first)

Step 2) 8 / 1/3 = 24 (Divide by the fractional portion next)

The complete quotient is still 6.

Checking Our Work

We can multiply the result by 1 1/3 to verify the division:

6 * 1 1/3 = 6 * (1 + 1/3) = 6 * (4/3) = 8

Getting back 8 confirms that dividing 8 by 1 1/3 equals 6.

Understanding mixed number division provides a great foundation for expanding fraction math skills. Converting or separating the whole and fractional parts makes these problems manageable.

In summary, divide a mixed number by either converting to an improper fraction, or by separately dividing by the whole number and fractional components.