30/8 as a mixed number
Understand the Problem
The question is asking to convert the improper fraction 30/8 into a mixed number format. A mixed number consists of a whole number and a proper fraction. To solve this, we divide 30 by 8 to find the whole number and the remainder will help us express the fraction part.
Answer
The mixed number form of \( \frac{30}{8} \) is \( 3 \frac{3}{4} \).
Answer for screen readers
The mixed number form of ( \frac{30}{8} ) is ( 3 \frac{3}{4} ).
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction ( \frac{30}{8} ) into a mixed number, start by dividing the numerator (30) by the denominator (8).
Calculating this gives:
$$ 30 \div 8 = 3 \text{ R } 6 $$
This means 8 goes into 30 three times with a remainder of 6.
- Identify the Whole Number
From the division, we find that the whole number part of the mixed number is 3.
- Form the Fraction Part
Now, we need to express the remainder (6) as a fraction over the original denominator (8). The fraction part is:
$$ \frac{6}{8} $$
- Simplify the Fraction
The fraction ( \frac{6}{8} ) can be simplified. Both the numerator and the denominator can be divided by their greatest common divisor, which is 2:
$$ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} $$
- Combine the Whole Number and Proper Fraction
Now, combine the whole number and the simplified fraction to form the mixed number:
$$ 3 \frac{3}{4} $$
The mixed number form of ( \frac{30}{8} ) is ( 3 \frac{3}{4} ).
More Information
Mixed numbers are often used in everyday situations such as cooking, where you may need to express quantities that aren't whole, but are more manageable to work with. Mixed numbers can also simplify understanding fractions.
Tips
- Forgetting to simplify the fraction part: Always check if the fraction can be simplified after finding the remainder.
- Confusing remainder with fraction part: Remember that the fraction part always uses the original denominator.
