Convert 45/7 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 45/7 into a mixed number format. To do this, we will divide 45 by 7 to find the whole number part and then determine the remainder to express it as a fraction.
Answer
The mixed number form of \( \frac{45}{7} \) is \( 6 \frac{3}{7} \).
Answer for screen readers
The mixed number form of the improper fraction ( \frac{45}{7} ) is ( 6 \frac{3}{7} ).
Steps to Solve
- Divide 45 by 7
To convert the improper fraction to a mixed number, start by dividing the numerator (45) by the denominator (7).
$$ \text{Whole number part} = 45 \div 7 = 6 $$
- Find the remainder
Next, determine the remainder from the division of 45 by 7. This is done by using the formula:
$$ \text{Remainder} = 45 - (7 \times \text{Whole number part}) $$
Which calculates as follows:
$$ \text{Remainder} = 45 - (7 \times 6) = 45 - 42 = 3 $$
- Write the mixed number
Now that we have the whole number part and the remainder, we can express the improper fraction as a mixed number. The mixed number format is:
$$ \text{Mixed Number} = \text{Whole number} \frac{\text{Remainder}}{\text{Denominator}} $$
Thus, our mixed number becomes:
$$ 6 \frac{3}{7} $$
The mixed number form of the improper fraction ( \frac{45}{7} ) is ( 6 \frac{3}{7} ).
More Information
Converting improper fractions to mixed numbers is a common skill in math that helps in simplifying and understanding the value of the number better. The process also allows for easier operations such as addition and subtraction with mixed numbers.
Tips
- Forgetting to multiply the whole number part by the denominator when calculating the remainder. Always make sure to check that the remainder is less than the denominator.
- Misinterpreting the mixed number format, which should always include the whole number and the fraction part.
